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Finding the Fourth Proportional to 1,010,996,876.48, 1,516,495,314.71 and 1,010,996,876.48

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Solution

The fourth proportional to 1,010,996,876.48, 1,516,495,314.71 and 1,010,996,876.48 is: 1,516,495,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,996,876.48 : 1,516,495,314.71 = 1,010,996,876.48 : x
  2. Step 2: Convert to fraction form
    1,010,996,876.48/1,516,495,314.71 = 1,010,996,876.48/x
  3. Step 3: Cross multiply
    1,010,996,876.48x = 1,516,495,314.71 × 1,010,996,876.48
  4. Step 4: Simplify right side
    1,010,996,876.48x = 1,533,172,026,368,364,544
  5. Step 5: Solve for x
    x = 1,533,172,026,368,364,544/1,010,996,876.48
  6. Step 6: Final answer
    x = 1,516,495,314.71

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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.