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Finding the Fourth Proportional to 104,949,216,375.60, 157,423,824,563.40 and 104,949,216,375.60

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Solution

The fourth proportional to 104,949,216,375.60, 157,423,824,563.40 and 104,949,216,375.60 is: 157,423,824,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,949,216,375.60 : 157,423,824,563.40 = 104,949,216,375.60 : x
  2. Step 2: Convert to fraction form
    104,949,216,375.60/157,423,824,563.40 = 104,949,216,375.60/x
  3. Step 3: Cross multiply
    104,949,216,375.60x = 157,423,824,563.40 × 104,949,216,375.60
  4. Step 4: Simplify right side
    104,949,216,375.60x = 16,521,507,026,778,760,151,040
  5. Step 5: Solve for x
    x = 16,521,507,026,778,760,151,040/104,949,216,375.60
  6. Step 6: Final answer
    x = 157,423,824,563.40

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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.