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Finding the Fourth Proportional to 1,265,867,988.14, 1,746,897,823.65 and 708,951,035.21

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Solution

The fourth proportional to 1,265,867,988.14, 1,746,897,823.65 and 708,951,035.21 is: 978,352,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,867,988.14 : 1,746,897,823.65 = 708,951,035.21 : x
  2. Step 2: Convert to fraction form
    1,265,867,988.14/1,746,897,823.65 = 708,951,035.21/x
  3. Step 3: Cross multiply
    1,265,867,988.14x = 1,746,897,823.65 × 708,951,035.21
  4. Step 4: Simplify right side
    1,265,867,988.14x = 1,238,465,020,474,029,056
  5. Step 5: Solve for x
    x = 1,238,465,020,474,029,056/1,265,867,988.14
  6. Step 6: Final answer
    x = 978,352,428.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.