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Finding the Fourth Proportional to 505,521,795.30, 708,686,028.30 and 505,521,795.30

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Solution

The fourth proportional to 505,521,795.30, 708,686,028.30 and 505,521,795.30 is: 708,686,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,521,795.30 : 708,686,028.30 = 505,521,795.30 : x
  2. Step 2: Convert to fraction form
    505,521,795.30/708,686,028.30 = 505,521,795.30/x
  3. Step 3: Cross multiply
    505,521,795.30x = 708,686,028.30 × 505,521,795.30
  4. Step 4: Simplify right side
    505,521,795.30x = 358,256,233,330,242,560
  5. Step 5: Solve for x
    x = 358,256,233,330,242,560/505,521,795.30
  6. Step 6: Final answer
    x = 708,686,028.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.