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Finding the Fourth Proportional to 401,174,117.80, 600,804,582.90 and 401,174,117.80

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Solution

The fourth proportional to 401,174,117.80, 600,804,582.90 and 401,174,117.80 is: 600,804,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,174,117.80 : 600,804,582.90 = 401,174,117.80 : x
  2. Step 2: Convert to fraction form
    401,174,117.80/600,804,582.90 = 401,174,117.80/x
  3. Step 3: Cross multiply
    401,174,117.80x = 600,804,582.90 × 401,174,117.80
  4. Step 4: Simplify right side
    401,174,117.80x = 241,027,248,515,104,448
  5. Step 5: Solve for x
    x = 241,027,248,515,104,448/401,174,117.80
  6. Step 6: Final answer
    x = 600,804,582.90

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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.