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Finding the Fourth Proportional to 434,456,783,999.10, 651,685,175,998.65 and 434,456,783,999.10

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Solution

The fourth proportional to 434,456,783,999.10, 651,685,175,998.65 and 434,456,783,999.10 is: 651,685,175,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,456,783,999.10 : 651,685,175,998.65 = 434,456,783,999.10 : x
  2. Step 2: Convert to fraction form
    434,456,783,999.10/651,685,175,998.65 = 434,456,783,999.10/x
  3. Step 3: Cross multiply
    434,456,783,999.10x = 651,685,175,998.65 × 434,456,783,999.10
  4. Step 4: Simplify right side
    434,456,783,999.10x = 283,129,045,744,260,938,203,136
  5. Step 5: Solve for x
    x = 283,129,045,744,260,938,203,136/434,456,783,999.10
  6. Step 6: Final answer
    x = 651,685,175,998.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.