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Finding the Fourth Proportional to 597,977,148.10, 896,965,722.15 and 597,977,148.10

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Solution

The fourth proportional to 597,977,148.10, 896,965,722.15 and 597,977,148.10 is: 896,965,722.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,977,148.10 : 896,965,722.15 = 597,977,148.10 : x
  2. Step 2: Convert to fraction form
    597,977,148.10/896,965,722.15 = 597,977,148.10/x
  3. Step 3: Cross multiply
    597,977,148.10x = 896,965,722.15 × 597,977,148.10
  4. Step 4: Simplify right side
    597,977,148.10x = 536,365,004,474,713,984
  5. Step 5: Solve for x
    x = 536,365,004,474,713,984/597,977,148.10
  6. Step 6: Final answer
    x = 896,965,722.15

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Double scale
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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.