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Finding the Fourth Proportional to 195,570,297,301.95, 293,355,445,952.93 and 195,570,297,301.95

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Solution

The fourth proportional to 195,570,297,301.95, 293,355,445,952.93 and 195,570,297,301.95 is: 293,355,445,952.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,570,297,301.95 : 293,355,445,952.93 = 195,570,297,301.95 : x
  2. Step 2: Convert to fraction form
    195,570,297,301.95/293,355,445,952.93 = 195,570,297,301.95/x
  3. Step 3: Cross multiply
    195,570,297,301.95x = 293,355,445,952.93 × 195,570,297,301.95
  4. Step 4: Simplify right side
    195,570,297,301.95x = 57,371,611,780,160,646,283,264
  5. Step 5: Solve for x
    x = 57,371,611,780,160,646,283,264/195,570,297,301.95
  6. Step 6: Final answer
    x = 293,355,445,952.93

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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.