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Finding the Fourth Proportional to 1,999,685,099.40, 2,792,671,663.80 and 1,999,685,099.40

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Solution

The fourth proportional to 1,999,685,099.40, 2,792,671,663.80 and 1,999,685,099.40 is: 2,792,671,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999,685,099.40 : 2,792,671,663.80 = 1,999,685,099.40 : x
  2. Step 2: Convert to fraction form
    1,999,685,099.40/2,792,671,663.80 = 1,999,685,099.40/x
  3. Step 3: Cross multiply
    1,999,685,099.40x = 2,792,671,663.80 × 1,999,685,099.40
  4. Step 4: Simplify right side
    1,999,685,099.40x = 5,584,463,913,617,467,392
  5. Step 5: Solve for x
    x = 5,584,463,913,617,467,392/1,999,685,099.40
  6. Step 6: Final answer
    x = 2,792,671,663.80

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1.5x scale

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.