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Finding the Fourth Proportional to 30,267,288,001.30, 45,400,932,001.95 and 30,267,288,001.30

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Solution

The fourth proportional to 30,267,288,001.30, 45,400,932,001.95 and 30,267,288,001.30 is: 45,400,932,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,267,288,001.30 : 45,400,932,001.95 = 30,267,288,001.30 : x
  2. Step 2: Convert to fraction form
    30,267,288,001.30/45,400,932,001.95 = 30,267,288,001.30/x
  3. Step 3: Cross multiply
    30,267,288,001.30x = 45,400,932,001.95 × 30,267,288,001.30
  4. Step 4: Simplify right side
    30,267,288,001.30x = 1,374,163,084,430,458,224,640
  5. Step 5: Solve for x
    x = 1,374,163,084,430,458,224,640/30,267,288,001.30
  6. Step 6: Final answer
    x = 45,400,932,001.95

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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.