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Finding the Fourth Proportional to 564,059,139.60, 846,088,709.40 and 564,059,139.60

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Solution

The fourth proportional to 564,059,139.60, 846,088,709.40 and 564,059,139.60 is: 846,088,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,059,139.60 : 846,088,709.40 = 564,059,139.60 : x
  2. Step 2: Convert to fraction form
    564,059,139.60/846,088,709.40 = 564,059,139.60/x
  3. Step 3: Cross multiply
    564,059,139.60x = 846,088,709.40 × 564,059,139.60
  4. Step 4: Simplify right side
    564,059,139.60x = 477,244,069,449,438,464
  5. Step 5: Solve for x
    x = 477,244,069,449,438,464/564,059,139.60
  6. Step 6: Final answer
    x = 846,088,709.40

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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.