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Finding the Fourth Proportional to 1,026,531,985.80, 1,539,797,978.70 and 966,065,809.80

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Solution

The fourth proportional to 1,026,531,985.80, 1,539,797,978.70 and 966,065,809.80 is: 1,449,098,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,531,985.80 : 1,539,797,978.70 = 966,065,809.80 : x
  2. Step 2: Convert to fraction form
    1,026,531,985.80/1,539,797,978.70 = 966,065,809.80/x
  3. Step 3: Cross multiply
    1,026,531,985.80x = 1,539,797,978.70 × 966,065,809.80
  4. Step 4: Simplify right side
    1,026,531,985.80x = 1,487,546,181,221,218,560
  5. Step 5: Solve for x
    x = 1,487,546,181,221,218,560/1,026,531,985.80
  6. Step 6: Final answer
    x = 1,449,098,714.70

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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.