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Finding the Fourth Proportional to 502,842,114.90, 754,263,172.35 and 502,842,114.90

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Solution

The fourth proportional to 502,842,114.90, 754,263,172.35 and 502,842,114.90 is: 754,263,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,842,114.90 : 754,263,172.35 = 502,842,114.90 : x
  2. Step 2: Convert to fraction form
    502,842,114.90/754,263,172.35 = 502,842,114.90/x
  3. Step 3: Cross multiply
    502,842,114.90x = 754,263,172.35 × 502,842,114.90
  4. Step 4: Simplify right side
    502,842,114.90x = 379,275,288,775,657,216
  5. Step 5: Solve for x
    x = 379,275,288,775,657,216/502,842,114.90
  6. Step 6: Final answer
    x = 754,263,172.35

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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.