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Finding the Fourth Proportional to 40,806,806,611.40, 61,210,209,917.10 and 40,806,806,611.40

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Solution

The fourth proportional to 40,806,806,611.40, 61,210,209,917.10 and 40,806,806,611.40 is: 61,210,209,917.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,806,806,611.40 : 61,210,209,917.10 = 40,806,806,611.40 : x
  2. Step 2: Convert to fraction form
    40,806,806,611.40/61,210,209,917.10 = 40,806,806,611.40/x
  3. Step 3: Cross multiply
    40,806,806,611.40x = 61,210,209,917.10 × 40,806,806,611.40
  4. Step 4: Simplify right side
    40,806,806,611.40x = 2,497,793,198,730,297,999,360
  5. Step 5: Solve for x
    x = 2,497,793,198,730,297,999,360/40,806,806,611.40
  6. Step 6: Final answer
    x = 61,210,209,917.10

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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.