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Finding the Fourth Proportional to 431,097,389.60, 646,864,503.60 and 188,762,669.60

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Solution

The fourth proportional to 431,097,389.60, 646,864,503.60 and 188,762,669.60 is: 283,239,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,097,389.60 : 646,864,503.60 = 188,762,669.60 : x
  2. Step 2: Convert to fraction form
    431,097,389.60/646,864,503.60 = 188,762,669.60/x
  3. Step 3: Cross multiply
    431,097,389.60x = 646,864,503.60 × 188,762,669.60
  4. Step 4: Simplify right side
    431,097,389.60x = 122,103,870,569,014,816
  5. Step 5: Solve for x
    x = 122,103,870,569,014,816/431,097,389.60
  6. Step 6: Final answer
    x = 283,239,642.63

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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.