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Finding the Fourth Proportional to 413,391,155,135.67, 620,086,732,703.51 and 413,391,155,135.67

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Solution

The fourth proportional to 413,391,155,135.67, 620,086,732,703.51 and 413,391,155,135.67 is: 620,086,732,703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,391,155,135.67 : 620,086,732,703.51 = 413,391,155,135.67 : x
  2. Step 2: Convert to fraction form
    413,391,155,135.67/620,086,732,703.51 = 413,391,155,135.67/x
  3. Step 3: Cross multiply
    413,391,155,135.67x = 620,086,732,703.51 × 413,391,155,135.67
  4. Step 4: Simplify right side
    413,391,155,135.67x = 256,338,370,716,607,426,068,480
  5. Step 5: Solve for x
    x = 256,338,370,716,607,426,068,480/413,391,155,135.67
  6. Step 6: Final answer
    x = 620,086,732,703.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.