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Finding the Fourth Proportional to 898,157,036.10, 1,347,235,554.15 and 509,829,816.90

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Solution

The fourth proportional to 898,157,036.10, 1,347,235,554.15 and 509,829,816.90 is: 764,744,725.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,157,036.10 : 1,347,235,554.15 = 509,829,816.90 : x
  2. Step 2: Convert to fraction form
    898,157,036.10/1,347,235,554.15 = 509,829,816.90/x
  3. Step 3: Cross multiply
    898,157,036.10x = 1,347,235,554.15 × 509,829,816.90
  4. Step 4: Simplify right side
    898,157,036.10x = 686,860,855,893,464,576
  5. Step 5: Solve for x
    x = 686,860,855,893,464,576/898,157,036.10
  6. Step 6: Final answer
    x = 764,744,725.35

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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.