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Finding the Fourth Proportional to 164,392,426,200.90, 246,588,639,301.35 and 164,392,426,200.90

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Solution

The fourth proportional to 164,392,426,200.90, 246,588,639,301.35 and 164,392,426,200.90 is: 246,588,639,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,392,426,200.90 : 246,588,639,301.35 = 164,392,426,200.90 : x
  2. Step 2: Convert to fraction form
    164,392,426,200.90/246,588,639,301.35 = 164,392,426,200.90/x
  3. Step 3: Cross multiply
    164,392,426,200.90x = 246,588,639,301.35 × 164,392,426,200.90
  4. Step 4: Simplify right side
    164,392,426,200.90x = 40,537,304,688,327,531,692,032
  5. Step 5: Solve for x
    x = 40,537,304,688,327,531,692,032/164,392,426,200.90
  6. Step 6: Final answer
    x = 246,588,639,301.35

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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.