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Finding the Fourth Proportional to 905,461,246.30, 1,358,191,869.45 and 905,461,246.30

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Solution

The fourth proportional to 905,461,246.30, 1,358,191,869.45 and 905,461,246.30 is: 1,358,191,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,461,246.30 : 1,358,191,869.45 = 905,461,246.30 : x
  2. Step 2: Convert to fraction form
    905,461,246.30/1,358,191,869.45 = 905,461,246.30/x
  3. Step 3: Cross multiply
    905,461,246.30x = 1,358,191,869.45 × 905,461,246.30
  4. Step 4: Simplify right side
    905,461,246.30x = 1,229,790,102,826,723,840
  5. Step 5: Solve for x
    x = 1,229,790,102,826,723,840/905,461,246.30
  6. Step 6: Final answer
    x = 1,358,191,869.45

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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.