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Finding the Fourth Proportional to 768,750,557.90, 1,060,862,658.01 and 416,323,684.94

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Solution

The fourth proportional to 768,750,557.90, 1,060,862,658.01 and 416,323,684.94 is: 574,519,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,750,557.90 : 1,060,862,658.01 = 416,323,684.94 : x
  2. Step 2: Convert to fraction form
    768,750,557.90/1,060,862,658.01 = 416,323,684.94/x
  3. Step 3: Cross multiply
    768,750,557.90x = 1,060,862,658.01 × 416,323,684.94
  4. Step 4: Simplify right side
    768,750,557.90x = 441,662,250,997,966,208
  5. Step 5: Solve for x
    x = 441,662,250,997,966,208/768,750,557.90
  6. Step 6: Final answer
    x = 574,519,584.36

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Why These Related Problems?

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