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Finding the Fourth Proportional to 6,875,642,009.20, 10,313,463,013.80 and 6,875,642,009.20

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Solution

The fourth proportional to 6,875,642,009.20, 10,313,463,013.80 and 6,875,642,009.20 is: 10,313,463,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875,642,009.20 : 10,313,463,013.80 = 6,875,642,009.20 : x
  2. Step 2: Convert to fraction form
    6,875,642,009.20/10,313,463,013.80 = 6,875,642,009.20/x
  3. Step 3: Cross multiply
    6,875,642,009.20x = 10,313,463,013.80 × 6,875,642,009.20
  4. Step 4: Simplify right side
    6,875,642,009.20x = 70,911,679,558,013,714,432
  5. Step 5: Solve for x
    x = 70,911,679,558,013,714,432/6,875,642,009.20
  6. Step 6: Final answer
    x = 10,313,463,013.80

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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.