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Finding the Fourth Proportional to 203,400,935,999.65, 305,101,403,999.47 and 203,400,935,999.65

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Solution

The fourth proportional to 203,400,935,999.65, 305,101,403,999.47 and 203,400,935,999.65 is: 305,101,403,999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,400,935,999.65 : 305,101,403,999.47 = 203,400,935,999.65 : x
  2. Step 2: Convert to fraction form
    203,400,935,999.65/305,101,403,999.47 = 203,400,935,999.65/x
  3. Step 3: Cross multiply
    203,400,935,999.65x = 305,101,403,999.47 × 203,400,935,999.65
  4. Step 4: Simplify right side
    203,400,935,999.65x = 62,057,911,148,299,551,768,576
  5. Step 5: Solve for x
    x = 62,057,911,148,299,551,768,576/203,400,935,999.65
  6. Step 6: Final answer
    x = 305,101,403,999.47

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1.5x scale

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.