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Finding the Fourth Proportional to 605,450,732,513.60, 908,176,098,770.40 and 605,450,732,513.60

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Solution

The fourth proportional to 605,450,732,513.60, 908,176,098,770.40 and 605,450,732,513.60 is: 908,176,098,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,450,732,513.60 : 908,176,098,770.40 = 605,450,732,513.60 : x
  2. Step 2: Convert to fraction form
    605,450,732,513.60/908,176,098,770.40 = 605,450,732,513.60/x
  3. Step 3: Cross multiply
    605,450,732,513.60x = 908,176,098,770.40 × 605,450,732,513.60
  4. Step 4: Simplify right side
    605,450,732,513.60x = 549,855,884,251,882,223,304,704
  5. Step 5: Solve for x
    x = 549,855,884,251,882,223,304,704/605,450,732,513.60
  6. Step 6: Final answer
    x = 908,176,098,770.40

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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.