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Finding the Fourth Proportional to 418,924,224,145.35, 628,386,336,218.02 and 418,924,224,145.35

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Solution

The fourth proportional to 418,924,224,145.35, 628,386,336,218.02 and 418,924,224,145.35 is: 628,386,336,218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,924,224,145.35 : 628,386,336,218.02 = 418,924,224,145.35 : x
  2. Step 2: Convert to fraction form
    418,924,224,145.35/628,386,336,218.02 = 418,924,224,145.35/x
  3. Step 3: Cross multiply
    418,924,224,145.35x = 628,386,336,218.02 × 418,924,224,145.35
  4. Step 4: Simplify right side
    418,924,224,145.35x = 263,246,258,363,673,058,738,176
  5. Step 5: Solve for x
    x = 263,246,258,363,673,058,738,176/418,924,224,145.35
  6. Step 6: Final answer
    x = 628,386,336,218.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.