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Finding the Fourth Proportional to 163,780,488,054.20, 245,670,732,081.30 and 163,780,488,054.20

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Solution

The fourth proportional to 163,780,488,054.20, 245,670,732,081.30 and 163,780,488,054.20 is: 245,670,732,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,780,488,054.20 : 245,670,732,081.30 = 163,780,488,054.20 : x
  2. Step 2: Convert to fraction form
    163,780,488,054.20/245,670,732,081.30 = 163,780,488,054.20/x
  3. Step 3: Cross multiply
    163,780,488,054.20x = 245,670,732,081.30 × 163,780,488,054.20
  4. Step 4: Simplify right side
    163,780,488,054.20x = 40,236,072,400,907,925,454,848
  5. Step 5: Solve for x
    x = 40,236,072,400,907,925,454,848/163,780,488,054.20
  6. Step 6: Final answer
    x = 245,670,732,081.30

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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.