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Finding the Fourth Proportional to 234,500,778,838.70, 351,751,168,258.05 and 234,500,778,838.70

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Solution

The fourth proportional to 234,500,778,838.70, 351,751,168,258.05 and 234,500,778,838.70 is: 351,751,168,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,500,778,838.70 : 351,751,168,258.05 = 234,500,778,838.70 : x
  2. Step 2: Convert to fraction form
    234,500,778,838.70/351,751,168,258.05 = 234,500,778,838.70/x
  3. Step 3: Cross multiply
    234,500,778,838.70x = 351,751,168,258.05 × 234,500,778,838.70
  4. Step 4: Simplify right side
    234,500,778,838.70x = 82,485,922,913,935,341,649,920
  5. Step 5: Solve for x
    x = 82,485,922,913,935,341,649,920/234,500,778,838.70
  6. Step 6: Final answer
    x = 351,751,168,258.05

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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.