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Finding the Fourth Proportional to 898,646,650.80, 1,347,969,976.20 and 753,527,828.40

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Solution

The fourth proportional to 898,646,650.80, 1,347,969,976.20 and 753,527,828.40 is: 1,130,291,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,646,650.80 : 1,347,969,976.20 = 753,527,828.40 : x
  2. Step 2: Convert to fraction form
    898,646,650.80/1,347,969,976.20 = 753,527,828.40/x
  3. Step 3: Cross multiply
    898,646,650.80x = 1,347,969,976.20 × 753,527,828.40
  4. Step 4: Simplify right side
    898,646,650.80x = 1,015,732,888,914,385,664
  5. Step 5: Solve for x
    x = 1,015,732,888,914,385,664/898,646,650.80
  6. Step 6: Final answer
    x = 1,130,291,742.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.