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Finding the Fourth Proportional to 27,247,955,345.80, 40,871,933,018.70 and 27,247,955,345.80

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Solution

The fourth proportional to 27,247,955,345.80, 40,871,933,018.70 and 27,247,955,345.80 is: 40,871,933,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,247,955,345.80 : 40,871,933,018.70 = 27,247,955,345.80 : x
  2. Step 2: Convert to fraction form
    27,247,955,345.80/40,871,933,018.70 = 27,247,955,345.80/x
  3. Step 3: Cross multiply
    27,247,955,345.80x = 40,871,933,018.70 × 27,247,955,345.80
  4. Step 4: Simplify right side
    27,247,955,345.80x = 1,113,676,605,790,066,049,024
  5. Step 5: Solve for x
    x = 1,113,676,605,790,066,049,024/27,247,955,345.80
  6. Step 6: Final answer
    x = 40,871,933,018.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.