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Finding the Fourth Proportional to 746,670,501.10, 1,042,920,054.50 and 746,670,501.10

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Solution

The fourth proportional to 746,670,501.10, 1,042,920,054.50 and 746,670,501.10 is: 1,042,920,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,670,501.10 : 1,042,920,054.50 = 746,670,501.10 : x
  2. Step 2: Convert to fraction form
    746,670,501.10/1,042,920,054.50 = 746,670,501.10/x
  3. Step 3: Cross multiply
    746,670,501.10x = 1,042,920,054.50 × 746,670,501.10
  4. Step 4: Simplify right side
    746,670,501.10x = 778,717,639,700,754,304
  5. Step 5: Solve for x
    x = 778,717,639,700,754,304/746,670,501.10
  6. Step 6: Final answer
    x = 1,042,920,054.50

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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.