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Finding the Fourth Proportional to 40,871,932,904.70, 61,307,899,357.05 and 40,871,932,904.70

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Solution

The fourth proportional to 40,871,932,904.70, 61,307,899,357.05 and 40,871,932,904.70 is: 61,307,899,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,871,932,904.70 : 61,307,899,357.05 = 40,871,932,904.70 : x
  2. Step 2: Convert to fraction form
    40,871,932,904.70/61,307,899,357.05 = 40,871,932,904.70/x
  3. Step 3: Cross multiply
    40,871,932,904.70x = 61,307,899,357.05 × 40,871,932,904.70
  4. Step 4: Simplify right side
    40,871,932,904.70x = 2,505,772,349,049,447,907,328
  5. Step 5: Solve for x
    x = 2,505,772,349,049,447,907,328/40,871,932,904.70
  6. Step 6: Final answer
    x = 61,307,899,357.05

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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.