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Finding the Fourth Proportional to 779,092,744,671.70, 1,168,639,117,007.60 and 779,092,744,671.70

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Solution

The fourth proportional to 779,092,744,671.70, 1,168,639,117,007.60 and 779,092,744,671.70 is: 1,168,639,117,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,092,744,671.70 : 1,168,639,117,007.60 = 779,092,744,671.70 : x
  2. Step 2: Convert to fraction form
    779,092,744,671.70/1,168,639,117,007.60 = 779,092,744,671.70/x
  3. Step 3: Cross multiply
    779,092,744,671.70x = 1,168,639,117,007.60 × 779,092,744,671.70
  4. Step 4: Simplify right side
    779,092,744,671.70x = 910,478,257,200,163,113,140,224
  5. Step 5: Solve for x
    x = 910,478,257,200,163,113,140,224/779,092,744,671.70
  6. Step 6: Final answer
    x = 1,168,639,117,007.60

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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.