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Finding the Fourth Proportional to 986,148,440, 1,360,858,800.48 and 562,754,512.40

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Solution

The fourth proportional to 986,148,440, 1,360,858,800.48 and 562,754,512.40 is: 776,586,363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,148,440 : 1,360,858,800.48 = 562,754,512.40 : x
  2. Step 2: Convert to fraction form
    986,148,440/1,360,858,800.48 = 562,754,512.40/x
  3. Step 3: Cross multiply
    986,148,440x = 1,360,858,800.48 × 562,754,512.40
  4. Step 4: Simplify right side
    986,148,440x = 765,829,430,709,371,264
  5. Step 5: Solve for x
    x = 765,829,430,709,371,264/986,148,440
  6. Step 6: Final answer
    x = 776,586,363.32

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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.