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Finding the Fourth Proportional to 877,719,259.70, 1,316,578,889.55 and 877,719,259.70

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Solution

The fourth proportional to 877,719,259.70, 1,316,578,889.55 and 877,719,259.70 is: 1,316,578,889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,719,259.70 : 1,316,578,889.55 = 877,719,259.70 : x
  2. Step 2: Convert to fraction form
    877,719,259.70/1,316,578,889.55 = 877,719,259.70/x
  3. Step 3: Cross multiply
    877,719,259.70x = 1,316,578,889.55 × 877,719,259.70
  4. Step 4: Simplify right side
    877,719,259.70x = 1,155,586,648,272,474,112
  5. Step 5: Solve for x
    x = 1,155,586,648,272,474,112/877,719,259.70
  6. Step 6: Final answer
    x = 1,316,578,889.55

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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.