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Finding the Fourth Proportional to 368,506,098,111.70, 552,759,147,167.55 and 368,506,098,111.70

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Solution

The fourth proportional to 368,506,098,111.70, 552,759,147,167.55 and 368,506,098,111.70 is: 552,759,147,167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,506,098,111.70 : 552,759,147,167.55 = 368,506,098,111.70 : x
  2. Step 2: Convert to fraction form
    368,506,098,111.70/552,759,147,167.55 = 368,506,098,111.70/x
  3. Step 3: Cross multiply
    368,506,098,111.70x = 552,759,147,167.55 × 368,506,098,111.70
  4. Step 4: Simplify right side
    368,506,098,111.70x = 203,695,116,518,264,823,349,248
  5. Step 5: Solve for x
    x = 203,695,116,518,264,823,349,248/368,506,098,111.70
  6. Step 6: Final answer
    x = 552,759,147,167.55

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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.