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Finding the Fourth Proportional to 430,625,642,493.60, 645,938,463,740.40 and 430,625,642,493.60

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Solution

The fourth proportional to 430,625,642,493.60, 645,938,463,740.40 and 430,625,642,493.60 is: 645,938,463,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,625,642,493.60 : 645,938,463,740.40 = 430,625,642,493.60 : x
  2. Step 2: Convert to fraction form
    430,625,642,493.60/645,938,463,740.40 = 430,625,642,493.60/x
  3. Step 3: Cross multiply
    430,625,642,493.60x = 645,938,463,740.40 × 430,625,642,493.60
  4. Step 4: Simplify right side
    430,625,642,493.60x = 278,157,665,959,538,681,970,688
  5. Step 5: Solve for x
    x = 278,157,665,959,538,681,970,688/430,625,642,493.60
  6. Step 6: Final answer
    x = 645,938,463,740.40

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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.