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Finding the Fourth Proportional to 907,878,645.30, 1,359,665,631.90 and 907,878,645.30

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Solution

The fourth proportional to 907,878,645.30, 1,359,665,631.90 and 907,878,645.30 is: 1,359,665,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,878,645.30 : 1,359,665,631.90 = 907,878,645.30 : x
  2. Step 2: Convert to fraction form
    907,878,645.30/1,359,665,631.90 = 907,878,645.30/x
  3. Step 3: Cross multiply
    907,878,645.30x = 1,359,665,631.90 × 907,878,645.30
  4. Step 4: Simplify right side
    907,878,645.30x = 1,234,411,391,950,340,608
  5. Step 5: Solve for x
    x = 1,234,411,391,950,340,608/907,878,645.30
  6. Step 6: Final answer
    x = 1,359,665,631.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.