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Finding the Fourth Proportional to 2,527,366,276.80, 3,784,246,970.40 and 2,527,366,276.80

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Solution

The fourth proportional to 2,527,366,276.80, 3,784,246,970.40 and 2,527,366,276.80 is: 3,784,246,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527,366,276.80 : 3,784,246,970.40 = 2,527,366,276.80 : x
  2. Step 2: Convert to fraction form
    2,527,366,276.80/3,784,246,970.40 = 2,527,366,276.80/x
  3. Step 3: Cross multiply
    2,527,366,276.80x = 3,784,246,970.40 × 2,527,366,276.80
  4. Step 4: Simplify right side
    2,527,366,276.80x = 9,564,178,176,071,528,448
  5. Step 5: Solve for x
    x = 9,564,178,176,071,528,448/2,527,366,276.80
  6. Step 6: Final answer
    x = 3,784,246,970.40

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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.