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Finding the Fourth Proportional to 651,731,714.20, 978,731,312.10 and 345,621,698.20

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Solution

The fourth proportional to 651,731,714.20, 978,731,312.10 and 345,621,698.20 is: 519,033,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,731,714.20 : 978,731,312.10 = 345,621,698.20 : x
  2. Step 2: Convert to fraction form
    651,731,714.20/978,731,312.10 = 345,621,698.20/x
  3. Step 3: Cross multiply
    651,731,714.20x = 978,731,312.10 × 345,621,698.20
  4. Step 4: Simplify right side
    651,731,714.20x = 338,270,778,169,516,224
  5. Step 5: Solve for x
    x = 338,270,778,169,516,224/651,731,714.20
  6. Step 6: Final answer
    x = 519,033,784.61

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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.