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Finding the Fourth Proportional to 859,454,970.30, 1,289,182,455.45 and 859,454,970.30

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Solution

The fourth proportional to 859,454,970.30, 1,289,182,455.45 and 859,454,970.30 is: 1,289,182,455.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,454,970.30 : 1,289,182,455.45 = 859,454,970.30 : x
  2. Step 2: Convert to fraction form
    859,454,970.30/1,289,182,455.45 = 859,454,970.30/x
  3. Step 3: Cross multiply
    859,454,970.30x = 1,289,182,455.45 × 859,454,970.30
  4. Step 4: Simplify right side
    859,454,970.30x = 1,107,994,268,960,060,800
  5. Step 5: Solve for x
    x = 1,107,994,268,960,060,800/859,454,970.30
  6. Step 6: Final answer
    x = 1,289,182,455.45

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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.