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Finding the Fourth Proportional to 310,847,988.94, 429,007,840.56 and 176,918,468.30

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Solution

The fourth proportional to 310,847,988.94, 429,007,840.56 and 176,918,468.30 is: 244,168,895.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,847,988.94 : 429,007,840.56 = 176,918,468.30 : x
  2. Step 2: Convert to fraction form
    310,847,988.94/429,007,840.56 = 176,918,468.30/x
  3. Step 3: Cross multiply
    310,847,988.94x = 429,007,840.56 × 176,918,468.30
  4. Step 4: Simplify right side
    310,847,988.94x = 75,899,410,040,565,824
  5. Step 5: Solve for x
    x = 75,899,410,040,565,824/310,847,988.94
  6. Step 6: Final answer
    x = 244,168,895.22

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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.