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Finding the Fourth Proportional to 643,681,206.40, 965,521,809.60 and 234,750,697.60

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Solution

The fourth proportional to 643,681,206.40, 965,521,809.60 and 234,750,697.60 is: 352,126,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,681,206.40 : 965,521,809.60 = 234,750,697.60 : x
  2. Step 2: Convert to fraction form
    643,681,206.40/965,521,809.60 = 234,750,697.60/x
  3. Step 3: Cross multiply
    643,681,206.40x = 965,521,809.60 × 234,750,697.60
  4. Step 4: Simplify right side
    643,681,206.40x = 226,656,918,351,614,368
  5. Step 5: Solve for x
    x = 226,656,918,351,614,368/643,681,206.40
  6. Step 6: Final answer
    x = 352,126,046.40

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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.