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Finding the Fourth Proportional to 30,320,352,003.45, 45,480,528,005.19 and 30,320,352,003.45

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Solution

The fourth proportional to 30,320,352,003.45, 45,480,528,005.19 and 30,320,352,003.45 is: 45,480,528,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,320,352,003.45 : 45,480,528,005.19 = 30,320,352,003.45 : x
  2. Step 2: Convert to fraction form
    30,320,352,003.45/45,480,528,005.19 = 30,320,352,003.45/x
  3. Step 3: Cross multiply
    30,320,352,003.45x = 45,480,528,005.19 × 30,320,352,003.45
  4. Step 4: Simplify right side
    30,320,352,003.45x = 1,378,985,618,420,126,449,664
  5. Step 5: Solve for x
    x = 1,378,985,618,420,126,449,664/30,320,352,003.45
  6. Step 6: Final answer
    x = 45,480,528,005.19

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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.