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Finding the Fourth Proportional to 507,438,046.20, 708,882,714.60 and 507,438,046.20

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Solution

The fourth proportional to 507,438,046.20, 708,882,714.60 and 507,438,046.20 is: 708,882,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,438,046.20 : 708,882,714.60 = 507,438,046.20 : x
  2. Step 2: Convert to fraction form
    507,438,046.20/708,882,714.60 = 507,438,046.20/x
  3. Step 3: Cross multiply
    507,438,046.20x = 708,882,714.60 × 507,438,046.20
  4. Step 4: Simplify right side
    507,438,046.20x = 359,714,059,681,576,192
  5. Step 5: Solve for x
    x = 359,714,059,681,576,192/507,438,046.20
  6. Step 6: Final answer
    x = 708,882,714.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.