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Finding the Fourth Proportional to 6,730,128,009.40, 10,095,192,014.12 and 6,730,128,009.40

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Solution

The fourth proportional to 6,730,128,009.40, 10,095,192,014.12 and 6,730,128,009.40 is: 10,095,192,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730,128,009.40 : 10,095,192,014.12 = 6,730,128,009.40 : x
  2. Step 2: Convert to fraction form
    6,730,128,009.40/10,095,192,014.12 = 6,730,128,009.40/x
  3. Step 3: Cross multiply
    6,730,128,009.40x = 10,095,192,014.12 × 6,730,128,009.40
  4. Step 4: Simplify right side
    6,730,128,009.40x = 67,941,934,534,500,212,736
  5. Step 5: Solve for x
    x = 67,941,934,534,500,212,736/6,730,128,009.40
  6. Step 6: Final answer
    x = 10,095,192,014.12

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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.