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Finding the Fourth Proportional to 9,657,792,006.90, 14,486,688,010.36 and 9,657,792,006.90

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Solution

The fourth proportional to 9,657,792,006.90, 14,486,688,010.36 and 9,657,792,006.90 is: 14,486,688,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,792,006.90 : 14,486,688,010.36 = 9,657,792,006.90 : x
  2. Step 2: Convert to fraction form
    9,657,792,006.90/14,486,688,010.36 = 9,657,792,006.90/x
  3. Step 3: Cross multiply
    9,657,792,006.90x = 14,486,688,010.36 × 9,657,792,006.90
  4. Step 4: Simplify right side
    9,657,792,006.90x = 139,909,419,672,908,873,728
  5. Step 5: Solve for x
    x = 139,909,419,672,908,873,728/9,657,792,006.90
  6. Step 6: Final answer
    x = 14,486,688,010.36

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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.