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Finding the Fourth Proportional to 813,891,569.60, 1,220,837,354.40 and 782,146,827.20

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Solution

The fourth proportional to 813,891,569.60, 1,220,837,354.40 and 782,146,827.20 is: 1,173,220,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,891,569.60 : 1,220,837,354.40 = 782,146,827.20 : x
  2. Step 2: Convert to fraction form
    813,891,569.60/1,220,837,354.40 = 782,146,827.20/x
  3. Step 3: Cross multiply
    813,891,569.60x = 1,220,837,354.40 × 782,146,827.20
  4. Step 4: Simplify right side
    813,891,569.60x = 954,874,063,271,202,048
  5. Step 5: Solve for x
    x = 954,874,063,271,202,048/813,891,569.60
  6. Step 6: Final answer
    x = 1,173,220,240.80

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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.