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Finding the Fourth Proportional to 118,077,912,441.80, 177,116,868,662.70 and 118,077,912,441.80

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Solution

The fourth proportional to 118,077,912,441.80, 177,116,868,662.70 and 118,077,912,441.80 is: 177,116,868,662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,077,912,441.80 : 177,116,868,662.70 = 118,077,912,441.80 : x
  2. Step 2: Convert to fraction form
    118,077,912,441.80/177,116,868,662.70 = 118,077,912,441.80/x
  3. Step 3: Cross multiply
    118,077,912,441.80x = 177,116,868,662.70 × 118,077,912,441.80
  4. Step 4: Simplify right side
    118,077,912,441.80x = 20,913,590,109,920,080,953,344
  5. Step 5: Solve for x
    x = 20,913,590,109,920,080,953,344/118,077,912,441.80
  6. Step 6: Final answer
    x = 177,116,868,662.70

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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.