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Finding the Fourth Proportional to 992,813,782.52, 1,370,231,970 and 754,266,420.35

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Solution

The fourth proportional to 992,813,782.52, 1,370,231,970 and 754,266,420.35 is: 1,041,000,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,813,782.52 : 1,370,231,970 = 754,266,420.35 : x
  2. Step 2: Convert to fraction form
    992,813,782.52/1,370,231,970 = 754,266,420.35/x
  3. Step 3: Cross multiply
    992,813,782.52x = 1,370,231,970 × 754,266,420.35
  4. Step 4: Simplify right side
    992,813,782.52x = 1,033,519,963,054,177,408
  5. Step 5: Solve for x
    x = 1,033,519,963,054,177,408/992,813,782.52
  6. Step 6: Final answer
    x = 1,041,000,821.36

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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.