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Finding the Fourth Proportional to 984,772,476.54, 1,474,791,774.90 and 563,316,074.76

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Solution

The fourth proportional to 984,772,476.54, 1,474,791,774.90 and 563,316,074.76 is: 843,620,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,772,476.54 : 1,474,791,774.90 = 563,316,074.76 : x
  2. Step 2: Convert to fraction form
    984,772,476.54/1,474,791,774.90 = 563,316,074.76/x
  3. Step 3: Cross multiply
    984,772,476.54x = 1,474,791,774.90 × 563,316,074.76
  4. Step 4: Simplify right side
    984,772,476.54x = 830,773,913,725,001,472
  5. Step 5: Solve for x
    x = 830,773,913,725,001,472/984,772,476.54
  6. Step 6: Final answer
    x = 843,620,159.50

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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.