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Finding the Fourth Proportional to 21,406,032,021.60, 32,109,048,032.40 and 21,406,032,021.60

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Solution

The fourth proportional to 21,406,032,021.60, 32,109,048,032.40 and 21,406,032,021.60 is: 32,109,048,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406,032,021.60 : 32,109,048,032.40 = 21,406,032,021.60 : x
  2. Step 2: Convert to fraction form
    21,406,032,021.60/32,109,048,032.40 = 21,406,032,021.60/x
  3. Step 3: Cross multiply
    21,406,032,021.60x = 32,109,048,032.40 × 21,406,032,021.60
  4. Step 4: Simplify right side
    21,406,032,021.60x = 687,327,310,364,646,834,176
  5. Step 5: Solve for x
    x = 687,327,310,364,646,834,176/21,406,032,021.60
  6. Step 6: Final answer
    x = 32,109,048,032.40

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1.5x scale

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.