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Finding the Fourth Proportional to 102,078,452,963.57, 153,117,679,445.36 and 102,078,452,963.57

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Solution

The fourth proportional to 102,078,452,963.57, 153,117,679,445.36 and 102,078,452,963.57 is: 153,117,679,445.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,078,452,963.57 : 153,117,679,445.36 = 102,078,452,963.57 : x
  2. Step 2: Convert to fraction form
    102,078,452,963.57/153,117,679,445.36 = 102,078,452,963.57/x
  3. Step 3: Cross multiply
    102,078,452,963.57x = 153,117,679,445.36 × 102,078,452,963.57
  4. Step 4: Simplify right side
    102,078,452,963.57x = 15,630,015,839,154,168,922,112
  5. Step 5: Solve for x
    x = 15,630,015,839,154,168,922,112/102,078,452,963.57
  6. Step 6: Final answer
    x = 153,117,679,445.36

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Double scale
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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.