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Finding the Fourth Proportional to 367,780,828,064.90, 551,671,242,097.40 and 367,780,828,064.90

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Solution

The fourth proportional to 367,780,828,064.90, 551,671,242,097.40 and 367,780,828,064.90 is: 551,671,242,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,780,828,064.90 : 551,671,242,097.40 = 367,780,828,064.90 : x
  2. Step 2: Convert to fraction form
    367,780,828,064.90/551,671,242,097.40 = 367,780,828,064.90/x
  3. Step 3: Cross multiply
    367,780,828,064.90x = 551,671,242,097.40 × 367,780,828,064.90
  4. Step 4: Simplify right side
    367,780,828,064.90x = 202,894,106,238,173,726,113,792
  5. Step 5: Solve for x
    x = 202,894,106,238,173,726,113,792/367,780,828,064.90
  6. Step 6: Final answer
    x = 551,671,242,097.40

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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.