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Finding the Fourth Proportional to 625,696,413.09, 864,177,678.14 and 412,070,017.30

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Solution

The fourth proportional to 625,696,413.09, 864,177,678.14 and 412,070,017.30 is: 569,128,579.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,696,413.09 : 864,177,678.14 = 412,070,017.30 : x
  2. Step 2: Convert to fraction form
    625,696,413.09/864,177,678.14 = 412,070,017.30/x
  3. Step 3: Cross multiply
    625,696,413.09x = 864,177,678.14 × 412,070,017.30
  4. Step 4: Simplify right side
    625,696,413.09x = 356,101,710,784,375,360
  5. Step 5: Solve for x
    x = 356,101,710,784,375,360/625,696,413.09
  6. Step 6: Final answer
    x = 569,128,579.51

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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.