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Finding the Fourth Proportional to 495,431,242.88, 742,655,989.84 and 232,645,381.32

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Solution

The fourth proportional to 495,431,242.88, 742,655,989.84 and 232,645,381.32 is: 348,737,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,431,242.88 : 742,655,989.84 = 232,645,381.32 : x
  2. Step 2: Convert to fraction form
    495,431,242.88/742,655,989.84 = 232,645,381.32/x
  3. Step 3: Cross multiply
    495,431,242.88x = 742,655,989.84 × 232,645,381.32
  4. Step 4: Simplify right side
    495,431,242.88x = 172,775,485,944,052,224
  5. Step 5: Solve for x
    x = 172,775,485,944,052,224/495,431,242.88
  6. Step 6: Final answer
    x = 348,737,566.37

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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.