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Finding the Fourth Proportional to 408,943,849,931.70, 613,415,774,897.55 and 408,943,849,931.70

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Solution

The fourth proportional to 408,943,849,931.70, 613,415,774,897.55 and 408,943,849,931.70 is: 613,415,774,897.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,943,849,931.70 : 613,415,774,897.55 = 408,943,849,931.70 : x
  2. Step 2: Convert to fraction form
    408,943,849,931.70/613,415,774,897.55 = 408,943,849,931.70/x
  3. Step 3: Cross multiply
    408,943,849,931.70x = 613,415,774,897.55 × 408,943,849,931.70
  4. Step 4: Simplify right side
    408,943,849,931.70x = 250,852,608,595,441,171,300,352
  5. Step 5: Solve for x
    x = 250,852,608,595,441,171,300,352/408,943,849,931.70
  6. Step 6: Final answer
    x = 613,415,774,897.55

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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.