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Finding the Fourth Proportional to 9,657,792,008.40, 14,486,688,012.60 and 9,657,792,008.40

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Solution

The fourth proportional to 9,657,792,008.40, 14,486,688,012.60 and 9,657,792,008.40 is: 14,486,688,012.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,792,008.40 : 14,486,688,012.60 = 9,657,792,008.40 : x
  2. Step 2: Convert to fraction form
    9,657,792,008.40/14,486,688,012.60 = 9,657,792,008.40/x
  3. Step 3: Cross multiply
    9,657,792,008.40x = 14,486,688,012.60 × 9,657,792,008.40
  4. Step 4: Simplify right side
    9,657,792,008.40x = 139,909,419,716,272,357,376
  5. Step 5: Solve for x
    x = 139,909,419,716,272,357,376/9,657,792,008.40
  6. Step 6: Final answer
    x = 14,486,688,012.60

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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.