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Finding the Fourth Proportional to 542,284,802.66, 748,434,830.44 and 330,714,376.18

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Solution

The fourth proportional to 542,284,802.66, 748,434,830.44 and 330,714,376.18 is: 456,435,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,284,802.66 : 748,434,830.44 = 330,714,376.18 : x
  2. Step 2: Convert to fraction form
    542,284,802.66/748,434,830.44 = 330,714,376.18/x
  3. Step 3: Cross multiply
    542,284,802.66x = 748,434,830.44 × 330,714,376.18
  4. Step 4: Simplify right side
    542,284,802.66x = 247,518,158,060,348,704
  5. Step 5: Solve for x
    x = 247,518,158,060,348,704/542,284,802.66
  6. Step 6: Final answer
    x = 456,435,726.85

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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.