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Finding the Fourth Proportional to 125,725,458,643.60, 188,588,187,965.40 and 125,725,458,643.60

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Solution

The fourth proportional to 125,725,458,643.60, 188,588,187,965.40 and 125,725,458,643.60 is: 188,588,187,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,725,458,643.60 : 188,588,187,965.40 = 125,725,458,643.60 : x
  2. Step 2: Convert to fraction form
    125,725,458,643.60/188,588,187,965.40 = 125,725,458,643.60/x
  3. Step 3: Cross multiply
    125,725,458,643.60x = 188,588,187,965.40 × 125,725,458,643.60
  4. Step 4: Simplify right side
    125,725,458,643.60x = 23,710,336,426,715,360,788,480
  5. Step 5: Solve for x
    x = 23,710,336,426,715,360,788,480/125,725,458,643.60
  6. Step 6: Final answer
    x = 188,588,187,965.40

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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.