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Finding the Fourth Proportional to 184,004,296.80, 275,771,998.80 and 97,784,008.80

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Solution

The fourth proportional to 184,004,296.80, 275,771,998.80 and 97,784,008.80 is: 146,551,423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,004,296.80 : 275,771,998.80 = 97,784,008.80 : x
  2. Step 2: Convert to fraction form
    184,004,296.80/275,771,998.80 = 97,784,008.80/x
  3. Step 3: Cross multiply
    184,004,296.80x = 275,771,998.80 × 97,784,008.80
  4. Step 4: Simplify right side
    184,004,296.80x = 26,966,091,557,452,788
  5. Step 5: Solve for x
    x = 26,966,091,557,452,788/184,004,296.80
  6. Step 6: Final answer
    x = 146,551,423.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.