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Finding the Fourth Proportional to 465,472,590,300.93, 698,208,885,451.40 and 465,472,590,300.93

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Solution

The fourth proportional to 465,472,590,300.93, 698,208,885,451.40 and 465,472,590,300.93 is: 698,208,885,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,472,590,300.93 : 698,208,885,451.40 = 465,472,590,300.93 : x
  2. Step 2: Convert to fraction form
    465,472,590,300.93/698,208,885,451.40 = 465,472,590,300.93/x
  3. Step 3: Cross multiply
    465,472,590,300.93x = 698,208,885,451.40 × 465,472,590,300.93
  4. Step 4: Simplify right side
    465,472,590,300.93x = 324,997,098,482,188,479,889,408
  5. Step 5: Solve for x
    x = 324,997,098,482,188,479,889,408/465,472,590,300.93
  6. Step 6: Final answer
    x = 698,208,885,451.40

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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.