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Finding the Fourth Proportional to 155,142,441,497.40, 232,713,662,246.10 and 155,142,441,497.40

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Solution

The fourth proportional to 155,142,441,497.40, 232,713,662,246.10 and 155,142,441,497.40 is: 232,713,662,246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,142,441,497.40 : 232,713,662,246.10 = 155,142,441,497.40 : x
  2. Step 2: Convert to fraction form
    155,142,441,497.40/232,713,662,246.10 = 155,142,441,497.40/x
  3. Step 3: Cross multiply
    155,142,441,497.40x = 232,713,662,246.10 × 155,142,441,497.40
  4. Step 4: Simplify right side
    155,142,441,497.40x = 36,103,765,730,661,272,387,584
  5. Step 5: Solve for x
    x = 36,103,765,730,661,272,387,584/155,142,441,497.40
  6. Step 6: Final answer
    x = 232,713,662,246.10

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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.