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Finding the Fourth Proportional to 212,778,728.40, 319,309,810.20 and 97,704,037.20

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Solution

The fourth proportional to 212,778,728.40, 319,309,810.20 and 97,704,037.20 is: 146,621,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,778,728.40 : 319,309,810.20 = 97,704,037.20 : x
  2. Step 2: Convert to fraction form
    212,778,728.40/319,309,810.20 = 97,704,037.20/x
  3. Step 3: Cross multiply
    212,778,728.40x = 319,309,810.20 × 97,704,037.20
  4. Step 4: Simplify right side
    212,778,728.40x = 31,197,857,574,105,740
  5. Step 5: Solve for x
    x = 31,197,857,574,105,740/212,778,728.40
  6. Step 6: Final answer
    x = 146,621,129.89

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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.