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Finding the Fourth Proportional to 562,506,503,503.65, 776,325,522,631 and 334,136,647,752.45

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Solution

The fourth proportional to 562,506,503,503.65, 776,325,522,631 and 334,136,647,752.45 is: 461,148,104,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,506,503,503.65 : 776,325,522,631 = 334,136,647,752.45 : x
  2. Step 2: Convert to fraction form
    562,506,503,503.65/776,325,522,631 = 334,136,647,752.45/x
  3. Step 3: Cross multiply
    562,506,503,503.65x = 776,325,522,631 × 334,136,647,752.45
  4. Step 4: Simplify right side
    562,506,503,503.65x = 259,398,807,696,591,097,430,016
  5. Step 5: Solve for x
    x = 259,398,807,696,591,097,430,016/562,506,503,503.65
  6. Step 6: Final answer
    x = 461,148,104,210.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.