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Finding the Fourth Proportional to 610,462,402.84, 916,101,791.43 and 260,790,188.32

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Solution

The fourth proportional to 610,462,402.84, 916,101,791.43 and 260,790,188.32 is: 391,359,660.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,462,402.84 : 916,101,791.43 = 260,790,188.32 : x
  2. Step 2: Convert to fraction form
    610,462,402.84/916,101,791.43 = 260,790,188.32/x
  3. Step 3: Cross multiply
    610,462,402.84x = 916,101,791.43 × 260,790,188.32
  4. Step 4: Simplify right side
    610,462,402.84x = 238,910,358,707,319,040
  5. Step 5: Solve for x
    x = 238,910,358,707,319,040/610,462,402.84
  6. Step 6: Final answer
    x = 391,359,660.47

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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.