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Finding the Fourth Proportional to 232,564,609,813.60, 348,846,914,720.40 and 232,564,609,813.60

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Solution

The fourth proportional to 232,564,609,813.60, 348,846,914,720.40 and 232,564,609,813.60 is: 348,846,914,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,564,609,813.60 : 348,846,914,720.40 = 232,564,609,813.60 : x
  2. Step 2: Convert to fraction form
    232,564,609,813.60/348,846,914,720.40 = 232,564,609,813.60/x
  3. Step 3: Cross multiply
    232,564,609,813.60x = 348,846,914,720.40 × 232,564,609,813.60
  4. Step 4: Simplify right side
    232,564,609,813.60x = 81,129,446,606,628,028,678,144
  5. Step 5: Solve for x
    x = 81,129,446,606,628,028,678,144/232,564,609,813.60
  6. Step 6: Final answer
    x = 348,846,914,720.40

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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.