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Finding the Fourth Proportional to 234,697,614.16, 323,883,958.64 and 146,642,675.10

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Solution

The fourth proportional to 234,697,614.16, 323,883,958.64 and 146,642,675.10 is: 202,367,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,697,614.16 : 323,883,958.64 = 146,642,675.10 : x
  2. Step 2: Convert to fraction form
    234,697,614.16/323,883,958.64 = 146,642,675.10/x
  3. Step 3: Cross multiply
    234,697,614.16x = 323,883,958.64 × 146,642,675.10
  4. Step 4: Simplify right side
    234,697,614.16x = 47,495,210,115,823,712
  5. Step 5: Solve for x
    x = 47,495,210,115,823,712/234,697,614.16
  6. Step 6: Final answer
    x = 202,367,673.34

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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.