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Finding the Fourth Proportional to 367,780,828,078.09, 551,671,242,117.10 and 367,780,828,078.09

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Solution

The fourth proportional to 367,780,828,078.09, 551,671,242,117.10 and 367,780,828,078.09 is: 551,671,242,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,780,828,078.09 : 551,671,242,117.10 = 367,780,828,078.09 : x
  2. Step 2: Convert to fraction form
    367,780,828,078.09/551,671,242,117.10 = 367,780,828,078.09/x
  3. Step 3: Cross multiply
    367,780,828,078.09x = 551,671,242,117.10 × 367,780,828,078.09
  4. Step 4: Simplify right side
    367,780,828,078.09x = 202,894,106,252,695,513,858,048
  5. Step 5: Solve for x
    x = 202,894,106,252,695,513,858,048/367,780,828,078.09
  6. Step 6: Final answer
    x = 551,671,242,117.10

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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.