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Finding the Fourth Proportional to 671,265,792,203.80, 1,006,898,688,305.70 and 671,265,792,203.80

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Solution

The fourth proportional to 671,265,792,203.80, 1,006,898,688,305.70 and 671,265,792,203.80 is: 1,006,898,688,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,265,792,203.80 : 1,006,898,688,305.70 = 671,265,792,203.80 : x
  2. Step 2: Convert to fraction form
    671,265,792,203.80/1,006,898,688,305.70 = 671,265,792,203.80/x
  3. Step 3: Cross multiply
    671,265,792,203.80x = 1,006,898,688,305.70 × 671,265,792,203.80
  4. Step 4: Simplify right side
    671,265,792,203.80x = 675,896,645,674,492,837,756,928
  5. Step 5: Solve for x
    x = 675,896,645,674,492,837,756,928/671,265,792,203.80
  6. Step 6: Final answer
    x = 1,006,898,688,305.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.