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Finding the Fourth Proportional to 509,307,008.40, 763,960,512.60 and 509,307,008.40

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Solution

The fourth proportional to 509,307,008.40, 763,960,512.60 and 509,307,008.40 is: 763,960,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,307,008.40 : 763,960,512.60 = 509,307,008.40 : x
  2. Step 2: Convert to fraction form
    509,307,008.40/763,960,512.60 = 509,307,008.40/x
  3. Step 3: Cross multiply
    509,307,008.40x = 763,960,512.60 × 509,307,008.40
  4. Step 4: Simplify right side
    509,307,008.40x = 389,090,443,208,036,480
  5. Step 5: Solve for x
    x = 389,090,443,208,036,480/509,307,008.40
  6. Step 6: Final answer
    x = 763,960,512.60

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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.