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Finding the Fourth Proportional to 206,876,706,897.07, 310,315,060,345.60 and 206,876,706,897.07

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Solution

The fourth proportional to 206,876,706,897.07, 310,315,060,345.60 and 206,876,706,897.07 is: 310,315,060,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876,706,897.07 : 310,315,060,345.60 = 206,876,706,897.07 : x
  2. Step 2: Convert to fraction form
    206,876,706,897.07/310,315,060,345.60 = 206,876,706,897.07/x
  3. Step 3: Cross multiply
    206,876,706,897.07x = 310,315,060,345.60 × 206,876,706,897.07
  4. Step 4: Simplify right side
    206,876,706,897.07x = 64,196,957,784,863,278,104,576
  5. Step 5: Solve for x
    x = 64,196,957,784,863,278,104,576/206,876,706,897.07
  6. Step 6: Final answer
    x = 310,315,060,345.60

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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.