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Finding the Fourth Proportional to 6,205,298,625.60, 9,307,947,938.40 and 6,205,298,625.60

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Solution

The fourth proportional to 6,205,298,625.60, 9,307,947,938.40 and 6,205,298,625.60 is: 9,307,947,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205,298,625.60 : 9,307,947,938.40 = 6,205,298,625.60 : x
  2. Step 2: Convert to fraction form
    6,205,298,625.60/9,307,947,938.40 = 6,205,298,625.60/x
  3. Step 3: Cross multiply
    6,205,298,625.60x = 9,307,947,938.40 × 6,205,298,625.60
  4. Step 4: Simplify right side
    6,205,298,625.60x = 57,758,596,549,309,874,176
  5. Step 5: Solve for x
    x = 57,758,596,549,309,874,176/6,205,298,625.60
  6. Step 6: Final answer
    x = 9,307,947,938.40

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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.