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Finding the Fourth Proportional to 819,798,687.70, 1,229,698,031.55 and 740,720,266.90

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Solution

The fourth proportional to 819,798,687.70, 1,229,698,031.55 and 740,720,266.90 is: 1,111,080,400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,798,687.70 : 1,229,698,031.55 = 740,720,266.90 : x
  2. Step 2: Convert to fraction form
    819,798,687.70/1,229,698,031.55 = 740,720,266.90/x
  3. Step 3: Cross multiply
    819,798,687.70x = 1,229,698,031.55 × 740,720,266.90
  4. Step 4: Simplify right side
    819,798,687.70x = 910,862,254,136,120,576
  5. Step 5: Solve for x
    x = 910,862,254,136,120,576/819,798,687.70
  6. Step 6: Final answer
    x = 1,111,080,400.35

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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.