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Finding the Fourth Proportional to 531,468,658.60, 797,202,987.90 and 457,492,071.40

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Solution

The fourth proportional to 531,468,658.60, 797,202,987.90 and 457,492,071.40 is: 686,238,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,468,658.60 : 797,202,987.90 = 457,492,071.40 : x
  2. Step 2: Convert to fraction form
    531,468,658.60/797,202,987.90 = 457,492,071.40/x
  3. Step 3: Cross multiply
    531,468,658.60x = 797,202,987.90 × 457,492,071.40
  4. Step 4: Simplify right side
    531,468,658.60x = 364,714,046,260,640,128
  5. Step 5: Solve for x
    x = 364,714,046,260,640,128/531,468,658.60
  6. Step 6: Final answer
    x = 686,238,107.10

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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.