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Finding the Fourth Proportional to 13,724,009,552.40, 20,586,014,328.60 and 13,724,009,552.40

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Solution

The fourth proportional to 13,724,009,552.40, 20,586,014,328.60 and 13,724,009,552.40 is: 20,586,014,328.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724,009,552.40 : 20,586,014,328.60 = 13,724,009,552.40 : x
  2. Step 2: Convert to fraction form
    13,724,009,552.40/20,586,014,328.60 = 13,724,009,552.40/x
  3. Step 3: Cross multiply
    13,724,009,552.40x = 20,586,014,328.60 × 13,724,009,552.40
  4. Step 4: Simplify right side
    13,724,009,552.40x = 282,522,657,291,549,638,656
  5. Step 5: Solve for x
    x = 282,522,657,291,549,638,656/13,724,009,552.40
  6. Step 6: Final answer
    x = 20,586,014,328.60

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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.