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Finding the Fourth Proportional to 776,083,116.30, 1,164,124,674.45 and 776,083,116.30

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Solution

The fourth proportional to 776,083,116.30, 1,164,124,674.45 and 776,083,116.30 is: 1,164,124,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,083,116.30 : 1,164,124,674.45 = 776,083,116.30 : x
  2. Step 2: Convert to fraction form
    776,083,116.30/1,164,124,674.45 = 776,083,116.30/x
  3. Step 3: Cross multiply
    776,083,116.30x = 1,164,124,674.45 × 776,083,116.30
  4. Step 4: Simplify right side
    776,083,116.30x = 903,457,505,108,878,976
  5. Step 5: Solve for x
    x = 903,457,505,108,878,976/776,083,116.30
  6. Step 6: Final answer
    x = 1,164,124,674.45

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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.