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Finding the Fourth Proportional to 580,620,854.40, 871,005,931.20 and 289,636,713.60

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Solution

The fourth proportional to 580,620,854.40, 871,005,931.20 and 289,636,713.60 is: 434,492,308.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,620,854.40 : 871,005,931.20 = 289,636,713.60 : x
  2. Step 2: Convert to fraction form
    580,620,854.40/871,005,931.20 = 289,636,713.60/x
  3. Step 3: Cross multiply
    580,620,854.40x = 871,005,931.20 × 289,636,713.60
  4. Step 4: Simplify right side
    580,620,854.40x = 252,275,295,438,875,744
  5. Step 5: Solve for x
    x = 252,275,295,438,875,744/580,620,854.40
  6. Step 6: Final answer
    x = 434,492,308.58

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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.