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Finding the Fourth Proportional to 11,762,752,023.10, 16,509,177,684.50 and 11,762,752,023.10

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Solution

The fourth proportional to 11,762,752,023.10, 16,509,177,684.50 and 11,762,752,023.10 is: 16,509,177,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762,752,023.10 : 16,509,177,684.50 = 11,762,752,023.10 : x
  2. Step 2: Convert to fraction form
    11,762,752,023.10/16,509,177,684.50 = 11,762,752,023.10/x
  3. Step 3: Cross multiply
    11,762,752,023.10x = 16,509,177,684.50 × 11,762,752,023.10
  4. Step 4: Simplify right side
    11,762,752,023.10x = 194,193,363,208,069,742,592
  5. Step 5: Solve for x
    x = 194,193,363,208,069,742,592/11,762,752,023.10
  6. Step 6: Final answer
    x = 16,509,177,684.50

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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.