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Finding the Fourth Proportional to 289,636,694,412.90, 434,455,041,619.35 and 289,636,694,412.90

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Solution

The fourth proportional to 289,636,694,412.90, 434,455,041,619.35 and 289,636,694,412.90 is: 434,455,041,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,636,694,412.90 : 434,455,041,619.35 = 289,636,694,412.90 : x
  2. Step 2: Convert to fraction form
    289,636,694,412.90/434,455,041,619.35 = 289,636,694,412.90/x
  3. Step 3: Cross multiply
    289,636,694,412.90x = 434,455,041,619.35 × 289,636,694,412.90
  4. Step 4: Simplify right side
    289,636,694,412.90x = 125,834,122,125,647,431,073,792
  5. Step 5: Solve for x
    x = 125,834,122,125,647,431,073,792/289,636,694,412.90
  6. Step 6: Final answer
    x = 434,455,041,619.35

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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.