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Finding the Fourth Proportional to 496,972,911,700.35, 745,459,367,550.50 and 496,972,911,700.35

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Solution

The fourth proportional to 496,972,911,700.35, 745,459,367,550.50 and 496,972,911,700.35 is: 745,459,367,550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,972,911,700.35 : 745,459,367,550.50 = 496,972,911,700.35 : x
  2. Step 2: Convert to fraction form
    496,972,911,700.35/745,459,367,550.50 = 496,972,911,700.35/x
  3. Step 3: Cross multiply
    496,972,911,700.35x = 745,459,367,550.50 × 496,972,911,700.35
  4. Step 4: Simplify right side
    496,972,911,700.35x = 370,473,112,445,873,341,595,648
  5. Step 5: Solve for x
    x = 370,473,112,445,873,341,595,648/496,972,911,700.35
  6. Step 6: Final answer
    x = 745,459,367,550.50

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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.