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Finding the Fourth Proportional to 498,205,045.70, 747,307,568.55 and 498,205,045.70

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Solution

The fourth proportional to 498,205,045.70, 747,307,568.55 and 498,205,045.70 is: 747,307,568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,205,045.70 : 747,307,568.55 = 498,205,045.70 : x
  2. Step 2: Convert to fraction form
    498,205,045.70/747,307,568.55 = 498,205,045.70/x
  3. Step 3: Cross multiply
    498,205,045.70x = 747,307,568.55 × 498,205,045.70
  4. Step 4: Simplify right side
    498,205,045.70x = 372,312,401,341,408,576
  5. Step 5: Solve for x
    x = 372,312,401,341,408,576/498,205,045.70
  6. Step 6: Final answer
    x = 747,307,568.55

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1.5x scale

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.