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Finding the Fourth Proportional to 290,321,569.80, 435,482,354.70 and 260,760,328.20

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Solution

The fourth proportional to 290,321,569.80, 435,482,354.70 and 260,760,328.20 is: 391,140,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,321,569.80 : 435,482,354.70 = 260,760,328.20 : x
  2. Step 2: Convert to fraction form
    290,321,569.80/435,482,354.70 = 260,760,328.20/x
  3. Step 3: Cross multiply
    290,321,569.80x = 435,482,354.70 × 260,760,328.20
  4. Step 4: Simplify right side
    290,321,569.80x = 113,556,521,736,880,800
  5. Step 5: Solve for x
    x = 113,556,521,736,880,800/290,321,569.80
  6. Step 6: Final answer
    x = 391,140,492.30

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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.