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Finding the Fourth Proportional to 32,597,640,168.05, 48,896,460,252.08 and 32,597,640,168.05

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Solution

The fourth proportional to 32,597,640,168.05, 48,896,460,252.08 and 32,597,640,168.05 is: 48,896,460,252.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,597,640,168.05 : 48,896,460,252.08 = 32,597,640,168.05 : x
  2. Step 2: Convert to fraction form
    32,597,640,168.05/48,896,460,252.08 = 32,597,640,168.05/x
  3. Step 3: Cross multiply
    32,597,640,168.05x = 48,896,460,252.08 × 32,597,640,168.05
  4. Step 4: Simplify right side
    32,597,640,168.05x = 1,593,909,216,788,500,185,088
  5. Step 5: Solve for x
    x = 1,593,909,216,788,500,185,088/32,597,640,168.05
  6. Step 6: Final answer
    x = 48,896,460,252.08

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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.