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Finding the Fourth Proportional to 4,309,492,098.90, 6,464,238,148.35 and 4,309,492,098.90

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Solution

The fourth proportional to 4,309,492,098.90, 6,464,238,148.35 and 4,309,492,098.90 is: 6,464,238,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309,492,098.90 : 6,464,238,148.35 = 4,309,492,098.90 : x
  2. Step 2: Convert to fraction form
    4,309,492,098.90/6,464,238,148.35 = 4,309,492,098.90/x
  3. Step 3: Cross multiply
    4,309,492,098.90x = 6,464,238,148.35 × 4,309,492,098.90
  4. Step 4: Simplify right side
    4,309,492,098.90x = 27,857,583,225,722,290,176
  5. Step 5: Solve for x
    x = 27,857,583,225,722,290,176/4,309,492,098.90
  6. Step 6: Final answer
    x = 6,464,238,148.35

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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.