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Finding the Fourth Proportional to 702,483,009, 969,763,538.66 and 493,818,023.40

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Solution

The fourth proportional to 702,483,009, 969,763,538.66 and 493,818,023.40 is: 681,705,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,483,009 : 969,763,538.66 = 493,818,023.40 : x
  2. Step 2: Convert to fraction form
    702,483,009/969,763,538.66 = 493,818,023.40/x
  3. Step 3: Cross multiply
    702,483,009x = 969,763,538.66 × 493,818,023.40
  4. Step 4: Simplify right side
    702,483,009x = 478,886,713,826,470,656
  5. Step 5: Solve for x
    x = 478,886,713,826,470,656/702,483,009
  6. Step 6: Final answer
    x = 681,705,760.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.