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Finding the Fourth Proportional to 399,423,851.60, 560,805,823.60 and 399,423,851.60

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Solution

The fourth proportional to 399,423,851.60, 560,805,823.60 and 399,423,851.60 is: 560,805,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,423,851.60 : 560,805,823.60 = 399,423,851.60 : x
  2. Step 2: Convert to fraction form
    399,423,851.60/560,805,823.60 = 399,423,851.60/x
  3. Step 3: Cross multiply
    399,423,851.60x = 560,805,823.60 × 399,423,851.60
  4. Step 4: Simplify right side
    399,423,851.60x = 223,999,222,062,022,208
  5. Step 5: Solve for x
    x = 223,999,222,062,022,208/399,423,851.60
  6. Step 6: Final answer
    x = 560,805,823.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.