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Finding the Fourth Proportional to 620,569,771,307.60, 930,854,656,961.40 and 620,569,771,307.60

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Solution

The fourth proportional to 620,569,771,307.60, 930,854,656,961.40 and 620,569,771,307.60 is: 930,854,656,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,569,771,307.60 : 930,854,656,961.40 = 620,569,771,307.60 : x
  2. Step 2: Convert to fraction form
    620,569,771,307.60/930,854,656,961.40 = 620,569,771,307.60/x
  3. Step 3: Cross multiply
    620,569,771,307.60x = 930,854,656,961.40 × 620,569,771,307.60
  4. Step 4: Simplify right side
    620,569,771,307.60x = 577,660,261,591,150,460,141,568
  5. Step 5: Solve for x
    x = 577,660,261,591,150,460,141,568/620,569,771,307.60
  6. Step 6: Final answer
    x = 930,854,656,961.40

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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.