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Finding the Fourth Proportional to 37,065,871,247.40, 55,598,806,871.10 and 37,065,871,247.40

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Solution

The fourth proportional to 37,065,871,247.40, 55,598,806,871.10 and 37,065,871,247.40 is: 55,598,806,871.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,065,871,247.40 : 55,598,806,871.10 = 37,065,871,247.40 : x
  2. Step 2: Convert to fraction form
    37,065,871,247.40/55,598,806,871.10 = 37,065,871,247.40/x
  3. Step 3: Cross multiply
    37,065,871,247.40x = 55,598,806,871.10 × 37,065,871,247.40
  4. Step 4: Simplify right side
    37,065,871,247.40x = 2,060,818,216,993,251,131,392
  5. Step 5: Solve for x
    x = 2,060,818,216,993,251,131,392/37,065,871,247.40
  6. Step 6: Final answer
    x = 55,598,806,871.10

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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.