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Finding the Fourth Proportional to 477,931,204.20, 716,896,806.30 and 477,931,204.20

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Solution

The fourth proportional to 477,931,204.20, 716,896,806.30 and 477,931,204.20 is: 716,896,806.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,931,204.20 : 716,896,806.30 = 477,931,204.20 : x
  2. Step 2: Convert to fraction form
    477,931,204.20/716,896,806.30 = 477,931,204.20/x
  3. Step 3: Cross multiply
    477,931,204.20x = 716,896,806.30 × 477,931,204.20
  4. Step 4: Simplify right side
    477,931,204.20x = 342,627,353,922,093,120
  5. Step 5: Solve for x
    x = 342,627,353,922,093,120/477,931,204.20
  6. Step 6: Final answer
    x = 716,896,806.30

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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.