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Finding the Fourth Proportional to 435,657,312.70, 610,373,734.10 and 435,657,312.70

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Solution

The fourth proportional to 435,657,312.70, 610,373,734.10 and 435,657,312.70 is: 610,373,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,657,312.70 : 610,373,734.10 = 435,657,312.70 : x
  2. Step 2: Convert to fraction form
    435,657,312.70/610,373,734.10 = 435,657,312.70/x
  3. Step 3: Cross multiply
    435,657,312.70x = 610,373,734.10 × 435,657,312.70
  4. Step 4: Simplify right side
    435,657,312.70x = 265,913,780,740,670,368
  5. Step 5: Solve for x
    x = 265,913,780,740,670,368/435,657,312.70
  6. Step 6: Final answer
    x = 610,373,734.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.