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Finding the Fourth Proportional to 735,893,307.12, 1,104,605,586 and 542,023,630.32

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Solution

The fourth proportional to 735,893,307.12, 1,104,605,586 and 542,023,630.32 is: 813,599,368.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,893,307.12 : 1,104,605,586 = 542,023,630.32 : x
  2. Step 2: Convert to fraction form
    735,893,307.12/1,104,605,586 = 542,023,630.32/x
  3. Step 3: Cross multiply
    735,893,307.12x = 1,104,605,586 × 542,023,630.32
  4. Step 4: Simplify right side
    735,893,307.12x = 598,722,329,795,470,976
  5. Step 5: Solve for x
    x = 598,722,329,795,470,976/735,893,307.12
  6. Step 6: Final answer
    x = 813,599,368.28

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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.