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Finding the Fourth Proportional to 360,490,499.10, 540,735,748.65 and 360,490,499.10

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Solution

The fourth proportional to 360,490,499.10, 540,735,748.65 and 360,490,499.10 is: 540,735,748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,490,499.10 : 540,735,748.65 = 360,490,499.10 : x
  2. Step 2: Convert to fraction form
    360,490,499.10/540,735,748.65 = 360,490,499.10/x
  3. Step 3: Cross multiply
    360,490,499.10x = 540,735,748.65 × 360,490,499.10
  4. Step 4: Simplify right side
    360,490,499.10x = 194,930,099,912,050,656
  5. Step 5: Solve for x
    x = 194,930,099,912,050,656/360,490,499.10
  6. Step 6: Final answer
    x = 540,735,748.65

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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.