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Finding the Fourth Proportional to 491,165,509.60, 736,854,552.60 and 146,154,012.40

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Solution

The fourth proportional to 491,165,509.60, 736,854,552.60 and 146,154,012.40 is: 219,262,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,165,509.60 : 736,854,552.60 = 146,154,012.40 : x
  2. Step 2: Convert to fraction form
    491,165,509.60/736,854,552.60 = 146,154,012.40/x
  3. Step 3: Cross multiply
    491,165,509.60x = 736,854,552.60 × 146,154,012.40
  4. Step 4: Simplify right side
    491,165,509.60x = 107,694,249,417,696,864
  5. Step 5: Solve for x
    x = 107,694,249,417,696,864/491,165,509.60
  6. Step 6: Final answer
    x = 219,262,646.32

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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.