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Finding the Fourth Proportional to 254,640,909,643.80, 381,961,364,465.70 and 254,640,909,643.80

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Solution

The fourth proportional to 254,640,909,643.80, 381,961,364,465.70 and 254,640,909,643.80 is: 381,961,364,465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,640,909,643.80 : 381,961,364,465.70 = 254,640,909,643.80 : x
  2. Step 2: Convert to fraction form
    254,640,909,643.80/381,961,364,465.70 = 254,640,909,643.80/x
  3. Step 3: Cross multiply
    254,640,909,643.80x = 381,961,364,465.70 × 254,640,909,643.80
  4. Step 4: Simplify right side
    254,640,909,643.80x = 97,262,989,296,332,865,273,856
  5. Step 5: Solve for x
    x = 97,262,989,296,332,865,273,856/254,640,909,643.80
  6. Step 6: Final answer
    x = 381,961,364,465.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.