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Finding the Fourth Proportional to 11,762,933,683.60, 16,509,432,009.20 and 11,762,933,683.60

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Solution

The fourth proportional to 11,762,933,683.60, 16,509,432,009.20 and 11,762,933,683.60 is: 16,509,432,009.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762,933,683.60 : 16,509,432,009.20 = 11,762,933,683.60 : x
  2. Step 2: Convert to fraction form
    11,762,933,683.60/16,509,432,009.20 = 11,762,933,683.60/x
  3. Step 3: Cross multiply
    11,762,933,683.60x = 16,509,432,009.20 × 11,762,933,683.60
  4. Step 4: Simplify right side
    11,762,933,683.60x = 194,199,353,878,122,725,376
  5. Step 5: Solve for x
    x = 194,199,353,878,122,725,376/11,762,933,683.60
  6. Step 6: Final answer
    x = 16,509,432,009.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.