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Finding the Fourth Proportional to 297,038,896,522.60, 445,558,344,783.90 and 297,038,896,522.60

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Solution

The fourth proportional to 297,038,896,522.60, 445,558,344,783.90 and 297,038,896,522.60 is: 445,558,344,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,038,896,522.60 : 445,558,344,783.90 = 297,038,896,522.60 : x
  2. Step 2: Convert to fraction form
    297,038,896,522.60/445,558,344,783.90 = 297,038,896,522.60/x
  3. Step 3: Cross multiply
    297,038,896,522.60x = 445,558,344,783.90 × 297,038,896,522.60
  4. Step 4: Simplify right side
    297,038,896,522.60x = 132,348,159,071,045,810,126,848
  5. Step 5: Solve for x
    x = 132,348,159,071,045,810,126,848/297,038,896,522.60
  6. Step 6: Final answer
    x = 445,558,344,783.90

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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.