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Finding the Fourth Proportional to 615,772,827, 849,085,561.80 and 392,400,666

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Solution

The fourth proportional to 615,772,827, 849,085,561.80 and 392,400,666 is: 541,078,991.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,772,827 : 849,085,561.80 = 392,400,666 : x
  2. Step 2: Convert to fraction form
    615,772,827/849,085,561.80 = 392,400,666/x
  3. Step 3: Cross multiply
    615,772,827x = 849,085,561.80 × 392,400,666
  4. Step 4: Simplify right side
    615,772,827x = 333,181,739,941,304,128
  5. Step 5: Solve for x
    x = 333,181,739,941,304,128/615,772,827
  6. Step 6: Final answer
    x = 541,078,991.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.