Finding the Fourth Proportional to 746,612,393,291.95, 1,030,314,137,652.60 and 417,020,241,426.97
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Solution
The fourth proportional to 746,612,393,291.95, 1,030,314,137,652.60 and 417,020,241,426.97 is: 575,481,808,619.67
Step by Step Solution
- Step 1: Write the proportion equation
746,612,393,291.95 : 1,030,314,137,652.60 = 417,020,241,426.97 : x - Step 2: Convert to fraction form
746,612,393,291.95/1,030,314,137,652.60 = 417,020,241,426.97/x - Step 3: Cross multiply
746,612,393,291.95x = 1,030,314,137,652.60 × 417,020,241,426.97 - Step 4: Simplify right side
746,612,393,291.95x = 429,661,850,429,507,627,909,120 - Step 5: Solve for x
x = 429,661,850,429,507,627,909,120/746,612,393,291.95 - Step 6: Final answer
x = 575,481,808,619.67
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.