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Finding the Fourth Proportional to 620,657,478,002.70, 930,986,217,004.05 and 620,657,478,002.70

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Solution

The fourth proportional to 620,657,478,002.70, 930,986,217,004.05 and 620,657,478,002.70 is: 930,986,217,004.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,657,478,002.70 : 930,986,217,004.05 = 620,657,478,002.70 : x
  2. Step 2: Convert to fraction form
    620,657,478,002.70/930,986,217,004.05 = 620,657,478,002.70/x
  3. Step 3: Cross multiply
    620,657,478,002.70x = 930,986,217,004.05 × 620,657,478,002.70
  4. Step 4: Simplify right side
    620,657,478,002.70x = 577,823,557,501,008,052,486,144
  5. Step 5: Solve for x
    x = 577,823,557,501,008,052,486,144/620,657,478,002.70
  6. Step 6: Final answer
    x = 930,986,217,004.05

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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.