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Finding the Fourth Proportional to 1,493,766,613.10, 2,094,334,358.50 and 1,493,766,613.10

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Solution

The fourth proportional to 1,493,766,613.10, 2,094,334,358.50 and 1,493,766,613.10 is: 2,094,334,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493,766,613.10 : 2,094,334,358.50 = 1,493,766,613.10 : x
  2. Step 2: Convert to fraction form
    1,493,766,613.10/2,094,334,358.50 = 1,493,766,613.10/x
  3. Step 3: Cross multiply
    1,493,766,613.10x = 2,094,334,358.50 × 1,493,766,613.10
  4. Step 4: Simplify right side
    1,493,766,613.10x = 3,128,446,741,395,506,176
  5. Step 5: Solve for x
    x = 3,128,446,741,395,506,176/1,493,766,613.10
  6. Step 6: Final answer
    x = 2,094,334,358.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.