Finding the Fourth Proportional to 2,108,298,775,701, 2,909,249,011,627.70 and 1,182,390,442,026.70
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Solution
The fourth proportional to 2,108,298,775,701, 2,909,249,011,627.70 and 1,182,390,442,026.70 is: 1,631,584,794,560.48
Step by Step Solution
- Step 1: Write the proportion equation
2,108,298,775,701 : 2,909,249,011,627.70 = 1,182,390,442,026.70 : x - Step 2: Convert to fraction form
2,108,298,775,701/2,909,249,011,627.70 = 1,182,390,442,026.70/x - Step 3: Cross multiply
2,108,298,775,701x = 2,909,249,011,627.70 × 1,182,390,442,026.70 - Step 4: Simplify right side
2,108,298,775,701x = 3,439,868,224,824,216,502,927,360 - Step 5: Solve for x
x = 3,439,868,224,824,216,502,927,360/2,108,298,775,701 - Step 6: Final answer
x = 1,631,584,794,560.48
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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.