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Finding the Fourth Proportional to 1,022,578,697.10, 1,533,868,045.65 and 1,022,578,697.10

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Solution

The fourth proportional to 1,022,578,697.10, 1,533,868,045.65 and 1,022,578,697.10 is: 1,533,868,045.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,578,697.10 : 1,533,868,045.65 = 1,022,578,697.10 : x
  2. Step 2: Convert to fraction form
    1,022,578,697.10/1,533,868,045.65 = 1,022,578,697.10/x
  3. Step 3: Cross multiply
    1,022,578,697.10x = 1,533,868,045.65 × 1,022,578,697.10
  4. Step 4: Simplify right side
    1,022,578,697.10x = 1,568,500,787,644,100,352
  5. Step 5: Solve for x
    x = 1,568,500,787,644,100,352/1,022,578,697.10
  6. Step 6: Final answer
    x = 1,533,868,045.65

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Double scale
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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.