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Finding the Fourth Proportional to 118,378,482,751.70, 177,567,724,127.55 and 118,378,482,751.70

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Solution

The fourth proportional to 118,378,482,751.70, 177,567,724,127.55 and 118,378,482,751.70 is: 177,567,724,127.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,378,482,751.70 : 177,567,724,127.55 = 118,378,482,751.70 : x
  2. Step 2: Convert to fraction form
    118,378,482,751.70/177,567,724,127.55 = 118,378,482,751.70/x
  3. Step 3: Cross multiply
    118,378,482,751.70x = 177,567,724,127.55 × 118,378,482,751.70
  4. Step 4: Simplify right side
    118,378,482,751.70x = 21,020,197,767,891,801,604,096
  5. Step 5: Solve for x
    x = 21,020,197,767,891,801,604,096/118,378,482,751.70
  6. Step 6: Final answer
    x = 177,567,724,127.55

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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.