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Finding the Fourth Proportional to 874,249,140.88, 1,311,000,416.84 and 506,038,250.21

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Solution

The fourth proportional to 874,249,140.88, 1,311,000,416.84 and 506,038,250.21 is: 758,841,302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,249,140.88 : 1,311,000,416.84 = 506,038,250.21 : x
  2. Step 2: Convert to fraction form
    874,249,140.88/1,311,000,416.84 = 506,038,250.21/x
  3. Step 3: Cross multiply
    874,249,140.88x = 1,311,000,416.84 × 506,038,250.21
  4. Step 4: Simplify right side
    874,249,140.88x = 663,416,356,962,979,584
  5. Step 5: Solve for x
    x = 663,416,356,962,979,584/874,249,140.88
  6. Step 6: Final answer
    x = 758,841,302.72

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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.