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Finding the Fourth Proportional to 201,607,126,302.90, 302,410,689,454.35 and 201,607,126,302.90

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Solution

The fourth proportional to 201,607,126,302.90, 302,410,689,454.35 and 201,607,126,302.90 is: 302,410,689,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,607,126,302.90 : 302,410,689,454.35 = 201,607,126,302.90 : x
  2. Step 2: Convert to fraction form
    201,607,126,302.90/302,410,689,454.35 = 201,607,126,302.90/x
  3. Step 3: Cross multiply
    201,607,126,302.90x = 302,410,689,454.35 × 201,607,126,302.90
  4. Step 4: Simplify right side
    201,607,126,302.90x = 60,968,150,064,170,201,513,984
  5. Step 5: Solve for x
    x = 60,968,150,064,170,201,513,984/201,607,126,302.90
  6. Step 6: Final answer
    x = 302,410,689,454.35

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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.