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Finding the Fourth Proportional to 13,620,186,948.90, 20,430,280,423.35 and 13,620,186,948.90

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Solution

The fourth proportional to 13,620,186,948.90, 20,430,280,423.35 and 13,620,186,948.90 is: 20,430,280,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,620,186,948.90 : 20,430,280,423.35 = 13,620,186,948.90 : x
  2. Step 2: Convert to fraction form
    13,620,186,948.90/20,430,280,423.35 = 13,620,186,948.90/x
  3. Step 3: Cross multiply
    13,620,186,948.90x = 20,430,280,423.35 × 13,620,186,948.90
  4. Step 4: Simplify right side
    13,620,186,948.90x = 278,264,238,784,478,806,016
  5. Step 5: Solve for x
    x = 278,264,238,784,478,806,016/13,620,186,948.90
  6. Step 6: Final answer
    x = 20,430,280,423.35

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1.5x scale

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.