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Finding the Fourth Proportional to 964,908,966.53, 1,443,711,039.48 and 571,646,923.98

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Solution

The fourth proportional to 964,908,966.53, 1,443,711,039.48 and 571,646,923.98 is: 855,306,566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,908,966.53 : 1,443,711,039.48 = 571,646,923.98 : x
  2. Step 2: Convert to fraction form
    964,908,966.53/1,443,711,039.48 = 571,646,923.98/x
  3. Step 3: Cross multiply
    964,908,966.53x = 1,443,711,039.48 × 571,646,923.98
  4. Step 4: Simplify right side
    964,908,966.53x = 825,292,974,834,710,400
  5. Step 5: Solve for x
    x = 825,292,974,834,710,400/964,908,966.53
  6. Step 6: Final answer
    x = 855,306,566.18

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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.