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Finding the Fourth Proportional to 118,378,482,751.60, 177,567,724,127.40 and 118,378,482,751.60

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Solution

The fourth proportional to 118,378,482,751.60, 177,567,724,127.40 and 118,378,482,751.60 is: 177,567,724,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,378,482,751.60 : 177,567,724,127.40 = 118,378,482,751.60 : x
  2. Step 2: Convert to fraction form
    118,378,482,751.60/177,567,724,127.40 = 118,378,482,751.60/x
  3. Step 3: Cross multiply
    118,378,482,751.60x = 177,567,724,127.40 × 118,378,482,751.60
  4. Step 4: Simplify right side
    118,378,482,751.60x = 21,020,197,767,856,288,432,128
  5. Step 5: Solve for x
    x = 21,020,197,767,856,288,432,128/118,378,482,751.60
  6. Step 6: Final answer
    x = 177,567,724,127.40

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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.