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Finding the Fourth Proportional to 560,538,700.38, 773,528,413.82 and 309,637,692.41

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Solution

The fourth proportional to 560,538,700.38, 773,528,413.82 and 309,637,692.41 is: 427,291,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,538,700.38 : 773,528,413.82 = 309,637,692.41 : x
  2. Step 2: Convert to fraction form
    560,538,700.38/773,528,413.82 = 309,637,692.41/x
  3. Step 3: Cross multiply
    560,538,700.38x = 773,528,413.82 × 309,637,692.41
  4. Step 4: Simplify right side
    560,538,700.38x = 239,513,553,063,376,512
  5. Step 5: Solve for x
    x = 239,513,553,063,376,512/560,538,700.38
  6. Step 6: Final answer
    x = 427,291,733.65

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Why These Related Problems?

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