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Finding the Fourth Proportional to 255,084,192,030.70, 382,626,288,046.08 and 255,084,192,030.70

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Solution

The fourth proportional to 255,084,192,030.70, 382,626,288,046.08 and 255,084,192,030.70 is: 382,626,288,046.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,084,192,030.70 : 382,626,288,046.08 = 255,084,192,030.70 : x
  2. Step 2: Convert to fraction form
    255,084,192,030.70/382,626,288,046.08 = 255,084,192,030.70/x
  3. Step 3: Cross multiply
    255,084,192,030.70x = 382,626,288,046.08 × 255,084,192,030.70
  4. Step 4: Simplify right side
    255,084,192,030.70x = 97,601,917,535,940,205,608,960
  5. Step 5: Solve for x
    x = 97,601,917,535,940,205,608,960/255,084,192,030.70
  6. Step 6: Final answer
    x = 382,626,288,046.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.