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Finding the Fourth Proportional to 11,478,878,859.20, 17,191,108,509.60 and 11,478,878,859.20

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Solution

The fourth proportional to 11,478,878,859.20, 17,191,108,509.60 and 11,478,878,859.20 is: 17,191,108,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478,878,859.20 : 17,191,108,509.60 = 11,478,878,859.20 : x
  2. Step 2: Convert to fraction form
    11,478,878,859.20/17,191,108,509.60 = 11,478,878,859.20/x
  3. Step 3: Cross multiply
    11,478,878,859.20x = 17,191,108,509.60 × 11,478,878,859.20
  4. Step 4: Simplify right side
    11,478,878,859.20x = 197,334,652,037,060,657,152
  5. Step 5: Solve for x
    x = 197,334,652,037,060,657,152/11,478,878,859.20
  6. Step 6: Final answer
    x = 17,191,108,509.60

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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.