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Finding the Fourth Proportional to 602,937,165,303, 904,672,824,039.40 and 316,027,036,320.12

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Solution

The fourth proportional to 602,937,165,303, 904,672,824,039.40 and 316,027,036,320.12 is: 474,180,541,312.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,937,165,303 : 904,672,824,039.40 = 316,027,036,320.12 : x
  2. Step 2: Convert to fraction form
    602,937,165,303/904,672,824,039.40 = 316,027,036,320.12/x
  3. Step 3: Cross multiply
    602,937,165,303x = 904,672,824,039.40 × 316,027,036,320.12
  4. Step 4: Simplify right side
    602,937,165,303x = 285,901,071,420,525,010,485,248
  5. Step 5: Solve for x
    x = 285,901,071,420,525,010,485,248/602,937,165,303
  6. Step 6: Final answer
    x = 474,180,541,312.04

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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.