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Finding the Fourth Proportional to 458,009,336.10, 687,014,004.15 and 458,009,336.10

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Solution

The fourth proportional to 458,009,336.10, 687,014,004.15 and 458,009,336.10 is: 687,014,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,009,336.10 : 687,014,004.15 = 458,009,336.10 : x
  2. Step 2: Convert to fraction form
    458,009,336.10/687,014,004.15 = 458,009,336.10/x
  3. Step 3: Cross multiply
    458,009,336.10x = 687,014,004.15 × 458,009,336.10
  4. Step 4: Simplify right side
    458,009,336.10x = 314,658,827,932,144,128
  5. Step 5: Solve for x
    x = 314,658,827,932,144,128/458,009,336.10
  6. Step 6: Final answer
    x = 687,014,004.15

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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.