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Finding the Fourth Proportional to 111,455,352,029.40, 156,478,291,264.20 and 111,455,352,029.40

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Solution

The fourth proportional to 111,455,352,029.40, 156,478,291,264.20 and 111,455,352,029.40 is: 156,478,291,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,455,352,029.40 : 156,478,291,264.20 = 111,455,352,029.40 : x
  2. Step 2: Convert to fraction form
    111,455,352,029.40/156,478,291,264.20 = 111,455,352,029.40/x
  3. Step 3: Cross multiply
    111,455,352,029.40x = 156,478,291,264.20 × 111,455,352,029.40
  4. Step 4: Simplify right side
    111,455,352,029.40x = 17,440,343,037,810,397,151,232
  5. Step 5: Solve for x
    x = 17,440,343,037,810,397,151,232/111,455,352,029.40
  6. Step 6: Final answer
    x = 156,478,291,264.20

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Why These Related Problems?

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