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Finding the Fourth Proportional to 6,875,642,006.70, 10,313,463,010.05 and 6,875,642,006.70

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Solution

The fourth proportional to 6,875,642,006.70, 10,313,463,010.05 and 6,875,642,006.70 is: 10,313,463,010.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875,642,006.70 : 10,313,463,010.05 = 6,875,642,006.70 : x
  2. Step 2: Convert to fraction form
    6,875,642,006.70/10,313,463,010.05 = 6,875,642,006.70/x
  3. Step 3: Cross multiply
    6,875,642,006.70x = 10,313,463,010.05 × 6,875,642,006.70
  4. Step 4: Simplify right side
    6,875,642,006.70x = 70,911,679,506,446,393,344
  5. Step 5: Solve for x
    x = 70,911,679,506,446,393,344/6,875,642,006.70
  6. Step 6: Final answer
    x = 10,313,463,010.05

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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.