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Finding the Fourth Proportional to 114,917,185,422.60, 172,375,778,133.90 and 114,917,185,422.60

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Solution

The fourth proportional to 114,917,185,422.60, 172,375,778,133.90 and 114,917,185,422.60 is: 172,375,778,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,917,185,422.60 : 172,375,778,133.90 = 114,917,185,422.60 : x
  2. Step 2: Convert to fraction form
    114,917,185,422.60/172,375,778,133.90 = 114,917,185,422.60/x
  3. Step 3: Cross multiply
    114,917,185,422.60x = 172,375,778,133.90 × 114,917,185,422.60
  4. Step 4: Simplify right side
    114,917,185,422.60x = 19,808,939,258,178,346,942,464
  5. Step 5: Solve for x
    x = 19,808,939,258,178,346,942,464/114,917,185,422.60
  6. Step 6: Final answer
    x = 172,375,778,133.90

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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.