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Finding the Fourth Proportional to 521,534,501.40, 782,301,752.10 and 521,534,501.40

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Solution

The fourth proportional to 521,534,501.40, 782,301,752.10 and 521,534,501.40 is: 782,301,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,534,501.40 : 782,301,752.10 = 521,534,501.40 : x
  2. Step 2: Convert to fraction form
    521,534,501.40/782,301,752.10 = 521,534,501.40/x
  3. Step 3: Cross multiply
    521,534,501.40x = 782,301,752.10 × 521,534,501.40
  4. Step 4: Simplify right side
    521,534,501.40x = 407,997,354,225,819,904
  5. Step 5: Solve for x
    x = 407,997,354,225,819,904/521,534,501.40
  6. Step 6: Final answer
    x = 782,301,752.10

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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.