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Finding the Fourth Proportional to 975,978,486.40, 1,465,101,470.40 and 588,239,132.80

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Solution

The fourth proportional to 975,978,486.40, 1,465,101,470.40 and 588,239,132.80 is: 883,042,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,978,486.40 : 1,465,101,470.40 = 588,239,132.80 : x
  2. Step 2: Convert to fraction form
    975,978,486.40/1,465,101,470.40 = 588,239,132.80/x
  3. Step 3: Cross multiply
    975,978,486.40x = 1,465,101,470.40 × 588,239,132.80
  4. Step 4: Simplify right side
    975,978,486.40x = 861,830,018,412,100,864
  5. Step 5: Solve for x
    x = 861,830,018,412,100,864/975,978,486.40
  6. Step 6: Final answer
    x = 883,042,024.41

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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.