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Finding the Fourth Proportional to 1,024,978,384.04, 1,539,920,334.18 and 657,233,830.94

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Solution

The fourth proportional to 1,024,978,384.04, 1,539,920,334.18 and 657,233,830.94 is: 987,423,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,978,384.04 : 1,539,920,334.18 = 657,233,830.94 : x
  2. Step 2: Convert to fraction form
    1,024,978,384.04/1,539,920,334.18 = 657,233,830.94/x
  3. Step 3: Cross multiply
    1,024,978,384.04x = 1,539,920,334.18 × 657,233,830.94
  4. Step 4: Simplify right side
    1,024,978,384.04x = 1,012,087,740,575,526,528
  5. Step 5: Solve for x
    x = 1,012,087,740,575,526,528/1,024,978,384.04
  6. Step 6: Final answer
    x = 987,423,497.25

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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.