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Finding the Fourth Proportional to 1,398,605,702.95, 1,930,066,051.52 and 763,526,194.70

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Solution

The fourth proportional to 1,398,605,702.95, 1,930,066,051.52 and 763,526,194.70 is: 1,053,660,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,605,702.95 : 1,930,066,051.52 = 763,526,194.70 : x
  2. Step 2: Convert to fraction form
    1,398,605,702.95/1,930,066,051.52 = 763,526,194.70/x
  3. Step 3: Cross multiply
    1,398,605,702.95x = 1,930,066,051.52 × 763,526,194.70
  4. Step 4: Simplify right side
    1,398,605,702.95x = 1,473,655,987,828,978,432
  5. Step 5: Solve for x
    x = 1,473,655,987,828,978,432/1,398,605,702.95
  6. Step 6: Final answer
    x = 1,053,660,788.54

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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.