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Finding the Fourth Proportional to 663,896,005.60, 995,844,008.40 and 405,615,679.60

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Solution

The fourth proportional to 663,896,005.60, 995,844,008.40 and 405,615,679.60 is: 608,423,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,896,005.60 : 995,844,008.40 = 405,615,679.60 : x
  2. Step 2: Convert to fraction form
    663,896,005.60/995,844,008.40 = 405,615,679.60/x
  3. Step 3: Cross multiply
    663,896,005.60x = 995,844,008.40 × 405,615,679.60
  4. Step 4: Simplify right side
    663,896,005.60x = 403,929,944,242,754,112
  5. Step 5: Solve for x
    x = 403,929,944,242,754,112/663,896,005.60
  6. Step 6: Final answer
    x = 608,423,519.40

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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.