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Finding the Fourth Proportional to 160,972,140.30, 241,458,210.45 and 160,972,140.30

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Solution

The fourth proportional to 160,972,140.30, 241,458,210.45 and 160,972,140.30 is: 241,458,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,972,140.30 : 241,458,210.45 = 160,972,140.30 : x
  2. Step 2: Convert to fraction form
    160,972,140.30/241,458,210.45 = 160,972,140.30/x
  3. Step 3: Cross multiply
    160,972,140.30x = 241,458,210.45 × 160,972,140.30
  4. Step 4: Simplify right side
    160,972,140.30x = 38,868,044,929,144,328
  5. Step 5: Solve for x
    x = 38,868,044,929,144,328/160,972,140.30
  6. Step 6: Final answer
    x = 241,458,210.45

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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.