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Finding the Fourth Proportional to 336,798,083.40, 470,369,404.20 and 336,798,083.40

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Solution

The fourth proportional to 336,798,083.40, 470,369,404.20 and 336,798,083.40 is: 470,369,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,798,083.40 : 470,369,404.20 = 336,798,083.40 : x
  2. Step 2: Convert to fraction form
    336,798,083.40/470,369,404.20 = 336,798,083.40/x
  3. Step 3: Cross multiply
    336,798,083.40x = 470,369,404.20 × 336,798,083.40
  4. Step 4: Simplify right side
    336,798,083.40x = 158,419,513,824,559,904
  5. Step 5: Solve for x
    x = 158,419,513,824,559,904/336,798,083.40
  6. Step 6: Final answer
    x = 470,369,404.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.