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Finding the Fourth Proportional to 1,010,996,862.48, 1,516,495,293.72 and 1,010,996,862.48

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Solution

The fourth proportional to 1,010,996,862.48, 1,516,495,293.72 and 1,010,996,862.48 is: 1,516,495,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,996,862.48 : 1,516,495,293.72 = 1,010,996,862.48 : x
  2. Step 2: Convert to fraction form
    1,010,996,862.48/1,516,495,293.72 = 1,010,996,862.48/x
  3. Step 3: Cross multiply
    1,010,996,862.48x = 1,516,495,293.72 × 1,010,996,862.48
  4. Step 4: Simplify right side
    1,010,996,862.48x = 1,533,171,983,916,606,208
  5. Step 5: Solve for x
    x = 1,533,171,983,916,606,208/1,010,996,862.48
  6. Step 6: Final answer
    x = 1,516,495,293.72

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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.