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Finding the Fourth Proportional to 363,963,456,005.40, 545,210,519,969.70 and 363,963,456,005.40

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Solution

The fourth proportional to 363,963,456,005.40, 545,210,519,969.70 and 363,963,456,005.40 is: 545,210,519,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,963,456,005.40 : 545,210,519,969.70 = 363,963,456,005.40 : x
  2. Step 2: Convert to fraction form
    363,963,456,005.40/545,210,519,969.70 = 363,963,456,005.40/x
  3. Step 3: Cross multiply
    363,963,456,005.40x = 545,210,519,969.70 × 363,963,456,005.40
  4. Step 4: Simplify right side
    363,963,456,005.40x = 198,436,705,098,673,170,677,760
  5. Step 5: Solve for x
    x = 198,436,705,098,673,170,677,760/363,963,456,005.40
  6. Step 6: Final answer
    x = 545,210,519,969.70

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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.