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Finding the Fourth Proportional to 137,905,506,645.67, 206,858,259,968.51 and 137,905,506,645.67

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Solution

The fourth proportional to 137,905,506,645.67, 206,858,259,968.51 and 137,905,506,645.67 is: 206,858,259,968.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,905,506,645.67 : 206,858,259,968.51 = 137,905,506,645.67 : x
  2. Step 2: Convert to fraction form
    137,905,506,645.67/206,858,259,968.51 = 137,905,506,645.67/x
  3. Step 3: Cross multiply
    137,905,506,645.67x = 206,858,259,968.51 × 137,905,506,645.67
  4. Step 4: Simplify right side
    137,905,506,645.67x = 28,526,893,144,799,090,573,312
  5. Step 5: Solve for x
    x = 28,526,893,144,799,090,573,312/137,905,506,645.67
  6. Step 6: Final answer
    x = 206,858,259,968.51

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Double scale
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1.5x scale

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.