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Finding the Fourth Proportional to 898,157,715.10, 1,347,236,572.65 and 509,830,495.90

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Solution

The fourth proportional to 898,157,715.10, 1,347,236,572.65 and 509,830,495.90 is: 764,745,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,157,715.10 : 1,347,236,572.65 = 509,830,495.90 : x
  2. Step 2: Convert to fraction form
    898,157,715.10/1,347,236,572.65 = 509,830,495.90/x
  3. Step 3: Cross multiply
    898,157,715.10x = 1,347,236,572.65 × 509,830,495.90
  4. Step 4: Simplify right side
    898,157,715.10x = 686,862,289,928,765,952
  5. Step 5: Solve for x
    x = 686,862,289,928,765,952/898,157,715.10
  6. Step 6: Final answer
    x = 764,745,743.85

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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.