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Finding the Fourth Proportional to 137,640,348,564.15, 206,460,522,846.23 and 137,640,348,564.15

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Solution

The fourth proportional to 137,640,348,564.15, 206,460,522,846.23 and 137,640,348,564.15 is: 206,460,522,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,640,348,564.15 : 206,460,522,846.23 = 137,640,348,564.15 : x
  2. Step 2: Convert to fraction form
    137,640,348,564.15/206,460,522,846.23 = 137,640,348,564.15/x
  3. Step 3: Cross multiply
    137,640,348,564.15x = 206,460,522,846.23 × 137,640,348,564.15
  4. Step 4: Simplify right side
    137,640,348,564.15x = 28,417,298,329,291,750,113,280
  5. Step 5: Solve for x
    x = 28,417,298,329,291,750,113,280/137,640,348,564.15
  6. Step 6: Final answer
    x = 206,460,522,846.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.