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Finding the Fourth Proportional to 1,010,996,865.23, 1,516,495,297.85 and 1,010,996,865.23

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Solution

The fourth proportional to 1,010,996,865.23, 1,516,495,297.85 and 1,010,996,865.23 is: 1,516,495,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,996,865.23 : 1,516,495,297.85 = 1,010,996,865.23 : x
  2. Step 2: Convert to fraction form
    1,010,996,865.23/1,516,495,297.85 = 1,010,996,865.23/x
  3. Step 3: Cross multiply
    1,010,996,865.23x = 1,516,495,297.85 × 1,010,996,865.23
  4. Step 4: Simplify right side
    1,010,996,865.23x = 1,533,171,992,262,385,152
  5. Step 5: Solve for x
    x = 1,533,171,992,262,385,152/1,010,996,865.23
  6. Step 6: Final answer
    x = 1,516,495,297.85

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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.