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Finding the Fourth Proportional to 1,024,552,798.08, 1,537,461,694.98 and 402,658,713.12

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Solution

The fourth proportional to 1,024,552,798.08, 1,537,461,694.98 and 402,658,713.12 is: 604,236,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,552,798.08 : 1,537,461,694.98 = 402,658,713.12 : x
  2. Step 2: Convert to fraction form
    1,024,552,798.08/1,537,461,694.98 = 402,658,713.12/x
  3. Step 3: Cross multiply
    1,024,552,798.08x = 1,537,461,694.98 × 402,658,713.12
  4. Step 4: Simplify right side
    1,024,552,798.08x = 619,072,347,577,706,240
  5. Step 5: Solve for x
    x = 619,072,347,577,706,240/1,024,552,798.08
  6. Step 6: Final answer
    x = 604,236,647.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.