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Finding the Fourth Proportional to 6,875,642,007.70, 10,313,463,011.55 and 6,875,642,007.70

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Solution

The fourth proportional to 6,875,642,007.70, 10,313,463,011.55 and 6,875,642,007.70 is: 10,313,463,011.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875,642,007.70 : 10,313,463,011.55 = 6,875,642,007.70 : x
  2. Step 2: Convert to fraction form
    6,875,642,007.70/10,313,463,011.55 = 6,875,642,007.70/x
  3. Step 3: Cross multiply
    6,875,642,007.70x = 10,313,463,011.55 × 6,875,642,007.70
  4. Step 4: Simplify right side
    6,875,642,007.70x = 70,911,679,527,073,325,056
  5. Step 5: Solve for x
    x = 70,911,679,527,073,325,056/6,875,642,007.70
  6. Step 6: Final answer
    x = 10,313,463,011.55

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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.