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Finding the Fourth Proportional to 493,449,097.90, 740,173,646.85 and 415,965,000.10

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Solution

The fourth proportional to 493,449,097.90, 740,173,646.85 and 415,965,000.10 is: 623,947,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,449,097.90 : 740,173,646.85 = 415,965,000.10 : x
  2. Step 2: Convert to fraction form
    493,449,097.90/740,173,646.85 = 415,965,000.10/x
  3. Step 3: Cross multiply
    493,449,097.90x = 740,173,646.85 × 415,965,000.10
  4. Step 4: Simplify right side
    493,449,097.90x = 307,886,331,085,977,664
  5. Step 5: Solve for x
    x = 307,886,331,085,977,664/493,449,097.90
  6. Step 6: Final answer
    x = 623,947,500.15

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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.