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Finding the Fourth Proportional to 284,883,429.40, 427,773,041.70 and 163,951,077.40

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Solution

The fourth proportional to 284,883,429.40, 427,773,041.70 and 163,951,077.40 is: 246,184,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,883,429.40 : 427,773,041.70 = 163,951,077.40 : x
  2. Step 2: Convert to fraction form
    284,883,429.40/427,773,041.70 = 163,951,077.40/x
  3. Step 3: Cross multiply
    284,883,429.40x = 427,773,041.70 × 163,951,077.40
  4. Step 4: Simplify right side
    284,883,429.40x = 70,133,851,069,390,128
  5. Step 5: Solve for x
    x = 70,133,851,069,390,128/284,883,429.40
  6. Step 6: Final answer
    x = 246,184,382.21

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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.