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Finding the Fourth Proportional to 594,592,628.90, 820,352,709.68 and 343,605,583.40

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Solution

The fourth proportional to 594,592,628.90, 820,352,709.68 and 343,605,583.40 is: 474,068,728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,592,628.90 : 820,352,709.68 = 343,605,583.40 : x
  2. Step 2: Convert to fraction form
    594,592,628.90/820,352,709.68 = 343,605,583.40/x
  3. Step 3: Cross multiply
    594,592,628.90x = 820,352,709.68 × 343,605,583.40
  4. Step 4: Simplify right side
    594,592,628.90x = 281,877,771,397,547,392
  5. Step 5: Solve for x
    x = 281,877,771,397,547,392/594,592,628.90
  6. Step 6: Final answer
    x = 474,068,728.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.