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Finding the Fourth Proportional to 1,008,977,992.90, 1,513,466,989.35 and 1,008,977,992.90

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Solution

The fourth proportional to 1,008,977,992.90, 1,513,466,989.35 and 1,008,977,992.90 is: 1,513,466,989.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,977,992.90 : 1,513,466,989.35 = 1,008,977,992.90 : x
  2. Step 2: Convert to fraction form
    1,008,977,992.90/1,513,466,989.35 = 1,008,977,992.90/x
  3. Step 3: Cross multiply
    1,008,977,992.90x = 1,513,466,989.35 × 1,008,977,992.90
  4. Step 4: Simplify right side
    1,008,977,992.90x = 1,527,054,885,234,768,640
  5. Step 5: Solve for x
    x = 1,527,054,885,234,768,640/1,008,977,992.90
  6. Step 6: Final answer
    x = 1,513,466,989.35

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.