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Finding the Fourth Proportional to 782,854,298.64, 1,080,343,203.06 and 460,996,308.00

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Solution

The fourth proportional to 782,854,298.64, 1,080,343,203.06 and 460,996,308.00 is: 636,177,420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,854,298.64 : 1,080,343,203.06 = 460,996,308.00 : x
  2. Step 2: Convert to fraction form
    782,854,298.64/1,080,343,203.06 = 460,996,308.00/x
  3. Step 3: Cross multiply
    782,854,298.64x = 1,080,343,203.06 × 460,996,308.00
  4. Step 4: Simplify right side
    782,854,298.64x = 498,034,227,986,255,104
  5. Step 5: Solve for x
    x = 498,034,227,986,255,104/782,854,298.64
  6. Step 6: Final answer
    x = 636,177,420.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.