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Finding the Fourth Proportional to 232,713,664,245.60, 349,070,496,368.40 and 232,713,664,245.60

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Solution

The fourth proportional to 232,713,664,245.60, 349,070,496,368.40 and 232,713,664,245.60 is: 349,070,496,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,713,664,245.60 : 349,070,496,368.40 = 232,713,664,245.60 : x
  2. Step 2: Convert to fraction form
    232,713,664,245.60/349,070,496,368.40 = 232,713,664,245.60/x
  3. Step 3: Cross multiply
    232,713,664,245.60x = 349,070,496,368.40 × 232,713,664,245.60
  4. Step 4: Simplify right side
    232,713,664,245.60x = 81,233,474,289,920,775,290,880
  5. Step 5: Solve for x
    x = 81,233,474,289,920,775,290,880/232,713,664,245.60
  6. Step 6: Final answer
    x = 349,070,496,368.40

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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.