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Finding the Fourth Proportional to 203,748,893,314.60, 305,623,339,971.90 and 203,748,893,314.60

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Solution

The fourth proportional to 203,748,893,314.60, 305,623,339,971.90 and 203,748,893,314.60 is: 305,623,339,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,748,893,314.60 : 305,623,339,971.90 = 203,748,893,314.60 : x
  2. Step 2: Convert to fraction form
    203,748,893,314.60/305,623,339,971.90 = 203,748,893,314.60/x
  3. Step 3: Cross multiply
    203,748,893,314.60x = 305,623,339,971.90 × 203,748,893,314.60
  4. Step 4: Simplify right side
    203,748,893,314.60x = 62,270,417,290,386,386,976,768
  5. Step 5: Solve for x
    x = 62,270,417,290,386,386,976,768/203,748,893,314.60
  6. Step 6: Final answer
    x = 305,623,339,971.90

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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.