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Finding the Fourth Proportional to 898,641,321.80, 1,347,961,982.70 and 735,382,646.60

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Solution

The fourth proportional to 898,641,321.80, 1,347,961,982.70 and 735,382,646.60 is: 1,103,073,969.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,641,321.80 : 1,347,961,982.70 = 735,382,646.60 : x
  2. Step 2: Convert to fraction form
    898,641,321.80/1,347,961,982.70 = 735,382,646.60/x
  3. Step 3: Cross multiply
    898,641,321.80x = 1,347,961,982.70 × 735,382,646.60
  4. Step 4: Simplify right side
    898,641,321.80x = 991,267,850,354,109,440
  5. Step 5: Solve for x
    x = 991,267,850,354,109,440/898,641,321.80
  6. Step 6: Final answer
    x = 1,103,073,969.90

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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.