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Finding the Fourth Proportional to 2,671,129,872,036.20, 4,006,694,808,054.40 and 2,671,129,872,036.20

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Solution

The fourth proportional to 2,671,129,872,036.20, 4,006,694,808,054.40 and 2,671,129,872,036.20 is: 4,006,694,808,054.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671,129,872,036.20 : 4,006,694,808,054.40 = 2,671,129,872,036.20 : x
  2. Step 2: Convert to fraction form
    2,671,129,872,036.20/4,006,694,808,054.40 = 2,671,129,872,036.20/x
  3. Step 3: Cross multiply
    2,671,129,872,036.20x = 4,006,694,808,054.40 × 2,671,129,872,036.20
  4. Step 4: Simplify right side
    2,671,129,872,036.20x = 10,702,402,189,926,457,625,542,656
  5. Step 5: Solve for x
    x = 10,702,402,189,926,457,625,542,656/2,671,129,872,036.20
  6. Step 6: Final answer
    x = 4,006,694,808,054.40

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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.