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Finding the Fourth Proportional to 746,670,509.10, 1,042,920,065.70 and 746,670,509.10

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Solution

The fourth proportional to 746,670,509.10, 1,042,920,065.70 and 746,670,509.10 is: 1,042,920,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,670,509.10 : 1,042,920,065.70 = 746,670,509.10 : x
  2. Step 2: Convert to fraction form
    746,670,509.10/1,042,920,065.70 = 746,670,509.10/x
  3. Step 3: Cross multiply
    746,670,509.10x = 1,042,920,065.70 × 746,670,509.10
  4. Step 4: Simplify right side
    746,670,509.10x = 778,717,656,406,824,448
  5. Step 5: Solve for x
    x = 778,717,656,406,824,448/746,670,509.10
  6. Step 6: Final answer
    x = 1,042,920,065.70

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