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Finding the Fourth Proportional to 564,497,881.97, 846,595,657.49 and 155,456,798.45

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Solution

The fourth proportional to 564,497,881.97, 846,595,657.49 and 155,456,798.45 is: 233,143,568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,497,881.97 : 846,595,657.49 = 155,456,798.45 : x
  2. Step 2: Convert to fraction form
    564,497,881.97/846,595,657.49 = 155,456,798.45/x
  3. Step 3: Cross multiply
    564,497,881.97x = 846,595,657.49 × 155,456,798.45
  4. Step 4: Simplify right side
    564,497,881.97x = 131,609,050,490,057,904
  5. Step 5: Solve for x
    x = 131,609,050,490,057,904/564,497,881.97
  6. Step 6: Final answer
    x = 233,143,568.28

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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.