Finding the Fourth Proportional to 4,329,811,427,282, 5,975,652,011,562.60 and 2,571,967,909,263.20
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Solution
The fourth proportional to 4,329,811,427,282, 5,975,652,011,562.60 and 2,571,967,909,263.20 is: 3,549,619,993,568.86
Step by Step Solution
- Step 1: Write the proportion equation
4,329,811,427,282 : 5,975,652,011,562.60 = 2,571,967,909,263.20 : x - Step 2: Convert to fraction form
4,329,811,427,282/5,975,652,011,562.60 = 2,571,967,909,263.20/x - Step 3: Cross multiply
4,329,811,427,282x = 5,975,652,011,562.60 × 2,571,967,909,263.20 - Step 4: Simplify right side
4,329,811,427,282x = 15,369,185,210,663,095,878,287,360 - Step 5: Solve for x
x = 15,369,185,210,663,095,878,287,360/4,329,811,427,282 - Step 6: Final answer
x = 3,549,619,993,568.86
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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.