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Finding the Fourth Proportional to 208,655,604,381.60, 312,983,406,572.40 and 208,655,604,381.60

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Solution

The fourth proportional to 208,655,604,381.60, 312,983,406,572.40 and 208,655,604,381.60 is: 312,983,406,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,655,604,381.60 : 312,983,406,572.40 = 208,655,604,381.60 : x
  2. Step 2: Convert to fraction form
    208,655,604,381.60/312,983,406,572.40 = 208,655,604,381.60/x
  3. Step 3: Cross multiply
    208,655,604,381.60x = 312,983,406,572.40 × 208,655,604,381.60
  4. Step 4: Simplify right side
    208,655,604,381.60x = 65,305,741,859,776,169,508,864
  5. Step 5: Solve for x
    x = 65,305,741,859,776,169,508,864/208,655,604,381.60
  6. Step 6: Final answer
    x = 312,983,406,572.40

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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.