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Finding the Fourth Proportional to 357,305,504,852.58, 535,958,257,278.90 and 357,305,504,852.58

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Solution

The fourth proportional to 357,305,504,852.58, 535,958,257,278.90 and 357,305,504,852.58 is: 535,958,257,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,305,504,852.58 : 535,958,257,278.90 = 357,305,504,852.58 : x
  2. Step 2: Convert to fraction form
    357,305,504,852.58/535,958,257,278.90 = 357,305,504,852.58/x
  3. Step 3: Cross multiply
    357,305,504,852.58x = 535,958,257,278.90 × 357,305,504,852.58
  4. Step 4: Simplify right side
    357,305,504,852.58x = 191,500,835,696,946,354,061,312
  5. Step 5: Solve for x
    x = 191,500,835,696,946,354,061,312/357,305,504,852.58
  6. Step 6: Final answer
    x = 535,958,257,278.90

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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.