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Finding the Fourth Proportional to 290,246,336.10, 407,492,783.10 and 290,246,336.10

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Solution

The fourth proportional to 290,246,336.10, 407,492,783.10 and 290,246,336.10 is: 407,492,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,246,336.10 : 407,492,783.10 = 290,246,336.10 : x
  2. Step 2: Convert to fraction form
    290,246,336.10/407,492,783.10 = 290,246,336.10/x
  3. Step 3: Cross multiply
    290,246,336.10x = 407,492,783.10 × 290,246,336.10
  4. Step 4: Simplify right side
    290,246,336.10x = 118,273,287,281,967,024
  5. Step 5: Solve for x
    x = 118,273,287,281,967,024/290,246,336.10
  6. Step 6: Final answer
    x = 407,492,783.10

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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.