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Finding the Fourth Proportional to 978,805,931.60, 1,468,208,897.40 and 543,449,464.40

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Solution

The fourth proportional to 978,805,931.60, 1,468,208,897.40 and 543,449,464.40 is: 815,174,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,805,931.60 : 1,468,208,897.40 = 543,449,464.40 : x
  2. Step 2: Convert to fraction form
    978,805,931.60/1,468,208,897.40 = 543,449,464.40/x
  3. Step 3: Cross multiply
    978,805,931.60x = 1,468,208,897.40 × 543,449,464.40
  4. Step 4: Simplify right side
    978,805,931.60x = 797,897,338,919,344,512
  5. Step 5: Solve for x
    x = 797,897,338,919,344,512/978,805,931.60
  6. Step 6: Final answer
    x = 815,174,196.60

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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.