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Finding the Fourth Proportional to 97,060,032,022.80, 136,275,865,652.40 and 97,060,032,022.80

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Solution

The fourth proportional to 97,060,032,022.80, 136,275,865,652.40 and 97,060,032,022.80 is: 136,275,865,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,060,032,022.80 : 136,275,865,652.40 = 97,060,032,022.80 : x
  2. Step 2: Convert to fraction form
    97,060,032,022.80/136,275,865,652.40 = 97,060,032,022.80/x
  3. Step 3: Cross multiply
    97,060,032,022.80x = 136,275,865,652.40 × 97,060,032,022.80
  4. Step 4: Simplify right side
    97,060,032,022.80x = 13,226,939,884,156,735,193,088
  5. Step 5: Solve for x
    x = 13,226,939,884,156,735,193,088/97,060,032,022.80
  6. Step 6: Final answer
    x = 136,275,865,652.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.