Finding the Fourth Proportional to 166,248,617,847.69, 249,347,730,303.86 and 45,246,602,116.06
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Solution
The fourth proportional to 166,248,617,847.69, 249,347,730,303.86 and 45,246,602,116.06 is: 67,863,045,646.11
Step by Step Solution
- Step 1: Write the proportion equation
166,248,617,847.69 : 249,347,730,303.86 = 45,246,602,116.06 : x - Step 2: Convert to fraction form
166,248,617,847.69/249,347,730,303.86 = 45,246,602,116.06/x - Step 3: Cross multiply
166,248,617,847.69x = 249,347,730,303.86 × 45,246,602,116.06 - Step 4: Simplify right side
166,248,617,847.69x = 11,282,137,541,600,891,371,520 - Step 5: Solve for x
x = 11,282,137,541,600,891,371,520/166,248,617,847.69 - Step 6: Final answer
x = 67,863,045,646.11
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.