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Finding the Fourth Proportional to 305,101,403,999.67, 457,652,105,999.48 and 305,101,403,999.67

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Solution

The fourth proportional to 305,101,403,999.67, 457,652,105,999.48 and 305,101,403,999.67 is: 457,652,105,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,101,403,999.67 : 457,652,105,999.48 = 305,101,403,999.67 : x
  2. Step 2: Convert to fraction form
    305,101,403,999.67/457,652,105,999.48 = 305,101,403,999.67/x
  3. Step 3: Cross multiply
    305,101,403,999.67x = 457,652,105,999.48 × 305,101,403,999.67
  4. Step 4: Simplify right side
    305,101,403,999.67x = 139,630,300,083,847,130,251,264
  5. Step 5: Solve for x
    x = 139,630,300,083,847,130,251,264/305,101,403,999.67
  6. Step 6: Final answer
    x = 457,652,105,999.48

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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.