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Finding the Fourth Proportional to 6,407,181,010.05, 9,610,771,515.08 and 6,407,181,010.05

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Solution

The fourth proportional to 6,407,181,010.05, 9,610,771,515.08 and 6,407,181,010.05 is: 9,610,771,515.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407,181,010.05 : 9,610,771,515.08 = 6,407,181,010.05 : x
  2. Step 2: Convert to fraction form
    6,407,181,010.05/9,610,771,515.08 = 6,407,181,010.05/x
  3. Step 3: Cross multiply
    6,407,181,010.05x = 9,610,771,515.08 × 6,407,181,010.05
  4. Step 4: Simplify right side
    6,407,181,010.05x = 61,577,952,743,318,011,904
  5. Step 5: Solve for x
    x = 61,577,952,743,318,011,904/6,407,181,010.05
  6. Step 6: Final answer
    x = 9,610,771,515.08

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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.