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Finding the Fourth Proportional to 155,043,072,415.40, 232,564,608,623.10 and 155,043,072,415.40

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Solution

The fourth proportional to 155,043,072,415.40, 232,564,608,623.10 and 155,043,072,415.40 is: 232,564,608,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,043,072,415.40 : 232,564,608,623.10 = 155,043,072,415.40 : x
  2. Step 2: Convert to fraction form
    155,043,072,415.40/232,564,608,623.10 = 155,043,072,415.40/x
  3. Step 3: Cross multiply
    155,043,072,415.40x = 232,564,608,623.10 × 155,043,072,415.40
  4. Step 4: Simplify right side
    155,043,072,415.40x = 36,057,531,456,010,451,943,424
  5. Step 5: Solve for x
    x = 36,057,531,456,010,451,943,424/155,043,072,415.40
  6. Step 6: Final answer
    x = 232,564,608,623.10

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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.