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Finding the Fourth Proportional to 384,912,314.10, 577,368,471.15 and 384,912,314.10

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Solution

The fourth proportional to 384,912,314.10, 577,368,471.15 and 384,912,314.10 is: 577,368,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,912,314.10 : 577,368,471.15 = 384,912,314.10 : x
  2. Step 2: Convert to fraction form
    384,912,314.10/577,368,471.15 = 384,912,314.10/x
  3. Step 3: Cross multiply
    384,912,314.10x = 577,368,471.15 × 384,912,314.10
  4. Step 4: Simplify right side
    384,912,314.10x = 222,236,234,318,725,600
  5. Step 5: Solve for x
    x = 222,236,234,318,725,600/384,912,314.10
  6. Step 6: Final answer
    x = 577,368,471.15

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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.