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Finding the Fourth Proportional to 104,958,144,430.35, 157,437,216,645.52 and 104,958,144,430.35

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Solution

The fourth proportional to 104,958,144,430.35, 157,437,216,645.52 and 104,958,144,430.35 is: 157,437,216,645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,958,144,430.35 : 157,437,216,645.52 = 104,958,144,430.35 : x
  2. Step 2: Convert to fraction form
    104,958,144,430.35/157,437,216,645.52 = 104,958,144,430.35/x
  3. Step 3: Cross multiply
    104,958,144,430.35x = 157,437,216,645.52 × 104,958,144,430.35
  4. Step 4: Simplify right side
    104,958,144,430.35x = 16,524,318,123,392,791,216,128
  5. Step 5: Solve for x
    x = 16,524,318,123,392,791,216,128/104,958,144,430.35
  6. Step 6: Final answer
    x = 157,437,216,645.52

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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.