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Finding the Fourth Proportional to 597,356,112,000.40, 896,034,168,000.60 and 597,356,112,000.40

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Solution

The fourth proportional to 597,356,112,000.40, 896,034,168,000.60 and 597,356,112,000.40 is: 896,034,168,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,356,112,000.40 : 896,034,168,000.60 = 597,356,112,000.40 : x
  2. Step 2: Convert to fraction form
    597,356,112,000.40/896,034,168,000.60 = 597,356,112,000.40/x
  3. Step 3: Cross multiply
    597,356,112,000.40x = 896,034,168,000.60 × 597,356,112,000.40
  4. Step 4: Simplify right side
    597,356,112,000.40x = 535,251,486,816,351,677,317,120
  5. Step 5: Solve for x
    x = 535,251,486,816,351,677,317,120/597,356,112,000.40
  6. Step 6: Final answer
    x = 896,034,168,000.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.