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Finding the Fourth Proportional to 6,679,587,783.80, 10,019,381,675.70 and 6,679,587,783.80

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Solution

The fourth proportional to 6,679,587,783.80, 10,019,381,675.70 and 6,679,587,783.80 is: 10,019,381,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679,587,783.80 : 10,019,381,675.70 = 6,679,587,783.80 : x
  2. Step 2: Convert to fraction form
    6,679,587,783.80/10,019,381,675.70 = 6,679,587,783.80/x
  3. Step 3: Cross multiply
    6,679,587,783.80x = 10,019,381,675.70 × 6,679,587,783.80
  4. Step 4: Simplify right side
    6,679,587,783.80x = 66,925,339,442,235,301,888
  5. Step 5: Solve for x
    x = 66,925,339,442,235,301,888/6,679,587,783.80
  6. Step 6: Final answer
    x = 10,019,381,675.70

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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.