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Finding the Fourth Proportional to 597,887,602.80, 896,831,404.20 and 514,663,942.20

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Solution

The fourth proportional to 597,887,602.80, 896,831,404.20 and 514,663,942.20 is: 771,995,913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,887,602.80 : 896,831,404.20 = 514,663,942.20 : x
  2. Step 2: Convert to fraction form
    597,887,602.80/896,831,404.20 = 514,663,942.20/x
  3. Step 3: Cross multiply
    597,887,602.80x = 896,831,404.20 × 514,663,942.20
  4. Step 4: Simplify right side
    597,887,602.80x = 461,566,785,974,333,632
  5. Step 5: Solve for x
    x = 461,566,785,974,333,632/597,887,602.80
  6. Step 6: Final answer
    x = 771,995,913.30

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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.