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Finding the Fourth Proportional to 496,972,912,071.60, 745,459,368,107.40 and 496,972,912,071.60

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Solution

The fourth proportional to 496,972,912,071.60, 745,459,368,107.40 and 496,972,912,071.60 is: 745,459,368,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,972,912,071.60 : 745,459,368,107.40 = 496,972,912,071.60 : x
  2. Step 2: Convert to fraction form
    496,972,912,071.60/745,459,368,107.40 = 496,972,912,071.60/x
  3. Step 3: Cross multiply
    496,972,912,071.60x = 745,459,368,107.40 × 496,972,912,071.60
  4. Step 4: Simplify right side
    496,972,912,071.60x = 370,473,112,999,389,399,351,296
  5. Step 5: Solve for x
    x = 370,473,112,999,389,399,351,296/496,972,912,071.60
  6. Step 6: Final answer
    x = 745,459,368,107.40

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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.