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Finding the Fourth Proportional to 509,304,419.40, 763,956,629.10 and 509,304,419.40

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Solution

The fourth proportional to 509,304,419.40, 763,956,629.10 and 509,304,419.40 is: 763,956,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,304,419.40 : 763,956,629.10 = 509,304,419.40 : x
  2. Step 2: Convert to fraction form
    509,304,419.40/763,956,629.10 = 509,304,419.40/x
  3. Step 3: Cross multiply
    509,304,419.40x = 763,956,629.10 × 509,304,419.40
  4. Step 4: Simplify right side
    509,304,419.40x = 389,086,487,430,556,608
  5. Step 5: Solve for x
    x = 389,086,487,430,556,608/509,304,419.40
  6. Step 6: Final answer
    x = 763,956,629.10

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1.5x scale

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.