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Finding the Fourth Proportional to 9,657,808,985.20, 14,486,713,477.80 and 9,657,808,985.20

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Solution

The fourth proportional to 9,657,808,985.20, 14,486,713,477.80 and 9,657,808,985.20 is: 14,486,713,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,808,985.20 : 14,486,713,477.80 = 9,657,808,985.20 : x
  2. Step 2: Convert to fraction form
    9,657,808,985.20/14,486,713,477.80 = 9,657,808,985.20/x
  3. Step 3: Cross multiply
    9,657,808,985.20x = 14,486,713,477.80 × 9,657,808,985.20
  4. Step 4: Simplify right side
    9,657,808,985.20x = 139,909,911,591,914,782,720
  5. Step 5: Solve for x
    x = 139,909,911,591,914,782,720/9,657,808,985.20
  6. Step 6: Final answer
    x = 14,486,713,477.80

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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.