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Finding the Fourth Proportional to 1,008,916,562.16, 1,392,305,722.20 and 562,879,994.40

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Solution

The fourth proportional to 1,008,916,562.16, 1,392,305,722.20 and 562,879,994.40 is: 776,774,875.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,916,562.16 : 1,392,305,722.20 = 562,879,994.40 : x
  2. Step 2: Convert to fraction form
    1,008,916,562.16/1,392,305,722.20 = 562,879,994.40/x
  3. Step 3: Cross multiply
    1,008,916,562.16x = 1,392,305,722.20 × 562,879,994.40
  4. Step 4: Simplify right side
    1,008,916,562.16x = 783,701,037,115,024,000
  5. Step 5: Solve for x
    x = 783,701,037,115,024,000/1,008,916,562.16
  6. Step 6: Final answer
    x = 776,774,875.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.