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Finding the Fourth Proportional to 17,176,076,509.60, 25,727,835,058.80 and 17,176,076,509.60

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Solution

The fourth proportional to 17,176,076,509.60, 25,727,835,058.80 and 17,176,076,509.60 is: 25,727,835,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,176,076,509.60 : 25,727,835,058.80 = 17,176,076,509.60 : x
  2. Step 2: Convert to fraction form
    17,176,076,509.60/25,727,835,058.80 = 17,176,076,509.60/x
  3. Step 3: Cross multiply
    17,176,076,509.60x = 25,727,835,058.80 × 17,176,076,509.60
  4. Step 4: Simplify right side
    17,176,076,509.60x = 441,903,263,396,318,019,584
  5. Step 5: Solve for x
    x = 441,903,263,396,318,019,584/17,176,076,509.60
  6. Step 6: Final answer
    x = 25,727,835,058.80

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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.