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Finding the Fourth Proportional to 298,971,653,271.15, 417,776,672,938.65 and 298,971,653,271.15

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Solution

The fourth proportional to 298,971,653,271.15, 417,776,672,938.65 and 298,971,653,271.15 is: 417,776,672,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,971,653,271.15 : 417,776,672,938.65 = 298,971,653,271.15 : x
  2. Step 2: Convert to fraction form
    298,971,653,271.15/417,776,672,938.65 = 298,971,653,271.15/x
  3. Step 3: Cross multiply
    298,971,653,271.15x = 417,776,672,938.65 × 298,971,653,271.15
  4. Step 4: Simplify right side
    298,971,653,271.15x = 124,903,382,606,588,726,476,800
  5. Step 5: Solve for x
    x = 124,903,382,606,588,726,476,800/298,971,653,271.15
  6. Step 6: Final answer
    x = 417,776,672,938.65

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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.