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Finding the Fourth Proportional to 6,409,213,394.80, 9,613,820,092.20 and 6,409,213,394.80

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Solution

The fourth proportional to 6,409,213,394.80, 9,613,820,092.20 and 6,409,213,394.80 is: 9,613,820,092.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409,213,394.80 : 9,613,820,092.20 = 6,409,213,394.80 : x
  2. Step 2: Convert to fraction form
    6,409,213,394.80/9,613,820,092.20 = 6,409,213,394.80/x
  3. Step 3: Cross multiply
    6,409,213,394.80x = 9,613,820,092.20 × 6,409,213,394.80
  4. Step 4: Simplify right side
    6,409,213,394.80x = 61,617,024,510,125,621,248
  5. Step 5: Solve for x
    x = 61,617,024,510,125,621,248/6,409,213,394.80
  6. Step 6: Final answer
    x = 9,613,820,092.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.