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Finding the Fourth Proportional to 515,994,467.40, 724,432,987.80 and 515,994,467.40

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Solution

The fourth proportional to 515,994,467.40, 724,432,987.80 and 515,994,467.40 is: 724,432,987.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,994,467.40 : 724,432,987.80 = 515,994,467.40 : x
  2. Step 2: Convert to fraction form
    515,994,467.40/724,432,987.80 = 515,994,467.40/x
  3. Step 3: Cross multiply
    515,994,467.40x = 724,432,987.80 × 515,994,467.40
  4. Step 4: Simplify right side
    515,994,467.40x = 373,803,413,706,851,648
  5. Step 5: Solve for x
    x = 373,803,413,706,851,648/515,994,467.40
  6. Step 6: Final answer
    x = 724,432,987.80

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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.