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Finding the Fourth Proportional to 84,680,492,578.60, 127,020,738,867.90 and 84,680,492,578.60

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Solution

The fourth proportional to 84,680,492,578.60, 127,020,738,867.90 and 84,680,492,578.60 is: 127,020,738,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,680,492,578.60 : 127,020,738,867.90 = 84,680,492,578.60 : x
  2. Step 2: Convert to fraction form
    84,680,492,578.60/127,020,738,867.90 = 84,680,492,578.60/x
  3. Step 3: Cross multiply
    84,680,492,578.60x = 127,020,738,867.90 × 84,680,492,578.60
  4. Step 4: Simplify right side
    84,680,492,578.60x = 10,756,178,735,031,495,163,904
  5. Step 5: Solve for x
    x = 10,756,178,735,031,495,163,904/84,680,492,578.60
  6. Step 6: Final answer
    x = 127,020,738,867.90

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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.