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Finding the Fourth Proportional to 977,509,399.55, 1,467,964,710.53 and 518,344,375.55

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Solution

The fourth proportional to 977,509,399.55, 1,467,964,710.53 and 518,344,375.55 is: 778,418,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,509,399.55 : 1,467,964,710.53 = 518,344,375.55 : x
  2. Step 2: Convert to fraction form
    977,509,399.55/1,467,964,710.53 = 518,344,375.55/x
  3. Step 3: Cross multiply
    977,509,399.55x = 1,467,964,710.53 × 518,344,375.55
  4. Step 4: Simplify right side
    977,509,399.55x = 760,911,251,206,517,760
  5. Step 5: Solve for x
    x = 760,911,251,206,517,760/977,509,399.55
  6. Step 6: Final answer
    x = 778,418,347.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.