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Finding the Fourth Proportional to 890,710,912.80, 1,336,402,292.40 and 431,056,000.80

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Solution

The fourth proportional to 890,710,912.80, 1,336,402,292.40 and 431,056,000.80 is: 646,746,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,710,912.80 : 1,336,402,292.40 = 431,056,000.80 : x
  2. Step 2: Convert to fraction form
    890,710,912.80/1,336,402,292.40 = 431,056,000.80/x
  3. Step 3: Cross multiply
    890,710,912.80x = 1,336,402,292.40 × 431,056,000.80
  4. Step 4: Simplify right side
    890,710,912.80x = 576,064,227,621,896,320
  5. Step 5: Solve for x
    x = 576,064,227,621,896,320/890,710,912.80
  6. Step 6: Final answer
    x = 646,746,569.90

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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.